Moslehian's Reviews for Mathematical Reviews (MR)
116 items
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(This page last updated in February 2012)
Books
Sahoo, Prasanna K.; Kannappan,
Palaniappan. Introduction
to functional equations. CRC Press,
Defant,
Andreas. Classical summation in commutative and noncommutative
$L\sb p$-spaces. Lecture Notes in Mathematics, 2021. Springer,
Zhang,
Fuzhen. Matrix theory. Basic results and techniques. Second
edition. Universitext. Springer, New York, 2011. xviii+399 pp. ISBN:
978-1-4614-1098-0
Papers
Abel,
Mart. A generalization of the Serre-Swan-Mallios theorem. Rend. Circ. Mat.
Acu, Ana Maria; Gonska, Heiner. Ostrowski
inequalities and moduli of smoothness. Results
Math. 53 (2009), no. 3-4, 217--228.
Alaca, C.
A new perspective to the Mazur-Ulam
problem in 2-fuzzy 2-normed linear spaces.
Alsina, Claudi; Tomás,
Maria Santos. On parallelogram areas in normed linear spaces. Aequationes
Math. 72 (2006), no. 3, 234-242.
Ansari-Piri, E.; Eghbali, N.
The stability of sine and cosine equations.
Anwar, M.; Latif, N.; Pečarić, J. Positive semidefinite
matrices, exponential convexity for majorization, and
related Cauchy means. J. Inequal. Appl. 2010, Art.
ID 728251, 19 pp.
Audenaert, Koenraad M. R. On the Araki-Lieb-Thirring inequality. Int. J.
Inf. Syst. Sci. 4 (2008),
no. 1, 78--83.
Baki\'c, Damir; Gulja\v
s, Boris. Hilbert $C\sp *$-modules over $C\sp *$-algebras
of compact operators. Acta Sci. Math. (
Batko, Bogdan. Stability of Dhombres' equation. Bull. Austral.
Math. Soc. 70 (2004), no. 3, 499-505.
Bauschke, Heinz H.; Moffat, Sarah M.; Wang, Xianfu.
The resolvent average for positive semidefinite matrices. Linear
Algebra Appl. 432 (2010), no. 7, 1757--1771.
Bebiano, N.; Furtado, S.; da Providência, J. Analogs of Cauchy-Poincaré and Fan-Pall interlacing theorems for $J$-Hermitian and $J$-normal matrices. Linear
Algebra Appl. 433 (2010), no. 1, 80--90.
Bebiano, Natália; da Providência, João;
da Providência, João P. Classes of non-Hermitian
operators with real eigenvalues. Electron. J. Linear Algebra 21 (2010), 98--109.
Bernardes, Nilson C., Jr.; Pombo, Dinamérico
P., Jr. Mackey convergence and bornological
topological modules. Atti Accad.
Naz.
Lincei Cl. Sci. Fis. Mat. Natur.
Rend. Lincei (9) Mat. Appl. 21 (2010), no. 3, 299--304.
Bouikhalene, Belaid; Elqorachi.
Elhoucien Ulam-G\v avruta-Rassias stability
of the Pexider functional equation. Int. J. Appl. Math. Stat. 7 (2007), No. Fe07, 27--39.
H. G. Bock, E. A. Kostina and O.
I. Kostyukova.
C\u adariu, Liviu;
Radu, Viorel.
Stability results for some functional equations of quadratic-type. Proceedings of the International Conference on Theory and
Applications of Mathematics and Informatics. Part A.
Cafuta, Kristijan; Klep,
Igor; Povh, Janez. A note on the nonexistence of sum of squares
certificates for the Bessis-Moussa-Villani
conjecture. J. Math. Phys. 51 (2010), no. 8, 083521, 10 pp.
Cai,
Li-xia; Xu, Wei-wei; Li, Wen. Additive
and multiplicative perturbation bounds for the Moore-Penrose inverse. Linear Algebra Appl. 434 (2011), no. 2,
480--489.
Cater, F.
S.; Thaheem, A. B. On certain equations of automorphisms of $C\sp *$-algebras. Southeast
Asian Bull. Math. 27 (2003), no. 2, 193-207.
Chmieli\'nski, Jacek. A comparison of some conditional functional equations. Comment. Math. Prace
Mat. 45 (2005), no. 2, 137-144.
Chmieli\'nski, Jacek. On some
approximate functional relations stemming from orthogonality
preserving property. JIPAM. J. Inequal.
Pure Appl. Math. 7 (2006), no. 3, Article 85, 14 pp.
Chmieli\'nski, Jacek. Stability of the Wigner equation and
related topics. Nonlinear Funct.
Anal. Appl. 11 (2006), no.
5, 859-879.
Chmieli\'nski, Jacek. Remarks
on orthogonality preserving mappings in normed spaces and some stability problems. Banach J. Math. Anal. 1 (2007), no. 1, 117--124.
Cho, Kazuki; Sano, Takashi.
Young's inequality and trace. Linear
Algebra Appl. 431 (2009), no. 8, 1218--1222.
Chugh, Renu; Sushma.
Some results in generalized $n$-inner product spaces. Int. Math. Forum 4 (2009), no. 21-24, 1013--1020.
Chung, Jaeyoung. Hyers-Ulam stability theorems for Pexider equations
in the space of Schwartz distributions. Arch. Math. (
Cortés, V.; Peña, J. M.
Factorizations of totally negative matrices. Numerical
methods for structured matrices and applications, 221--227, Oper.
Theory Adv. Appl., 199, Birkhäuser
Verlag,
Cucker, Felipe; Diao, Huaian; Wei, Yimin.
On mixed and componentwise condition numbers for
Moore-Penrose inverse and linear least squares problems. Math.
Comp. 76 (2007), no. 258, 947-963.
Czerwik, S. Some
results on the stability of the homogeneous functions. Bull. Korean Math. Soc.
42 (2005), no. 1, 29-37.
Demenchuk, Alexandr
K.; Makarov, Evgeniĭ K.
Explicit polynomial formulas for solutions of the matrix equation AX-XA=C.
J. Math. Phys. 50 (2009), no. 8, 083508, 13 pp.
Diţă, Petre
Complex Hadamard matrices from Sylvester inverse
orthogonal matrices. Open Syst.
Inf. Dyn. 16 (2009), no. 4,
387--405.
Dopazo, E.; Martínez-Serrano, M. F.
Further results on the representation of the Drazin
inverse of a $2\times 2$ block matrix. Linear Algebra Appl. 432 (2010), no. 8, 1896--1904.
Dopico, Froilán M.; Johnson, Charles R. Parametrization
of the matrix symplectic group and applications.
Dragomir, Sever S. Generalization of the Pečarić-Rajić
inequality in normed linear spaces. Math. Inequal. Appl. 12 (2009), no. 1, 53--65.
Dragomir, S.
S. Some trapezoidal vector inequalities for continuous
functions of selfadjoint operators in Hilbert spaces.
Abstr. Appl. Anal. 2011, Art. ID 941286, 13 pp.
Frazho, A. E.; Kaashoek, M. A.; Ran, A.
C. M. The non-symmetric discrete algebraic Riccati equation and canonical factorization of rational
matrix functions on the unit circle. Integral Equations
Operator Theory 66 (2010), no. 2, 215--229.
Dragomir, S.
S. Inequalities for the Čebyšev
functional of two functions of selfadjoint operators
in Hilbert spaces. Aust. J. Math. Anal.
Appl. 6
(2009), no. 1, Art. 7, 58 pp.
Fechner, Włodzimierz; Sikorska, Justyna.
Fechner, Żywilla
Frank, Michael. On Hahn-Banach
type theorems for Hilbert $C\sp *$-modules. Internat. J. Math. 13
(2002), no. 7, 675-693.
Frank,
Michael; Larson, David R. Frames in Hilbert $C\sp *$-modules and $C\sp
*$-algebras. J. Operator Theory 48 (2002), no. 2, 273-314.
Fuller,
Chris. A constructive proof of the Cartan-Dieudonné-Scherk
theorem in the real or complex case. J. Pure Appl.
Algebra 215 (2011), no. 5, 1116--1126.
Furuichi, Shigeru; Kuriyama, Ken; Yanagi, Kenjiro. Trace inequalities for products of matrices. Linear Algebra Appl. 430 (2009), no. 8-9,
2271--2276.
Furuichi, Shigeru; Lin, Minghua.
A matrix trace inequality and its application. Linear Algebra Appl. 433 (2010), no. 7,
1324--1328.
Gurvits, Leonid; Olshevsky, Alexander.
On the NP-hardness of checking matrix polytope
stability and continuous-time switching stability. IEEE Trans. Automat. Control 54 (2009), no. 2, 337--341.
Herzog, Gerd; Schmoeger,
Christoph. On
the functional equation defined by Lie's product formula. Studia Math. 175 (2006), no. 3, 271-277.
Huang, Qianglian. On
perturbations for oblique projection generalized inverses of closed linear
operators in Banach spaces. Linear
Algebra Appl. 434 (2011), no. 12, 2468--2474.
Huang, Rong; Liu, Jianzhou; Sze, Nung-Sing. Characterizations of inverse
$M$-matrices with special zero patterns. Linear Algebra Appl. 433 (2010), no. 5, 994--1000.
Huhtanen,
Marko. Differential geometry of matrix inversion.
Math. Scand. 107 (2010), no. 2,
267--284.
Ili\v sevi\'c, Dijana.
Quadratic functionals on modules over complex Banach $*$-algebras with an approximate identity. Studia Math. 171 (2005), no. 2, 103-123.
Ilišević, D.
A generalization of the original Jordan–von Neumann theorem. Acta Math. Hungar.
132 (2011), no. 4, 387--400.
Johnson, Charles R.; Link, Joshua A. Solution theory for
complete bilinear systems of equations. Numer. Linear Algebra Appl.
16 (2009), no. 11-12, 929--934.
Joi\c
ta, Maria. On Hilbert modules over locally
$C\sp *$-algebras. An. Univ. Bucure\c sti Mat. 49 (2000), no. 1, 41-52.
Joi\c
ta, Maria. On Hilbert-modules over locally
$C\sp *$-algebras. II. Period. Math. Hungar.
51 (2005), no. 1, 27-36.
Kim, Hark-Mahn.
Stability for generalized Jensen functional equations and isomorphisms
between $C\sp *$-algebras. Bull. Belg. Math. Soc. Simon Stevin 14 (2007), no. 1,
1--14.
Kittaneh, Fuad; Manasrah,
Yousef. Improved
Young and Heinz inequalities for matrices. J. Math. Anal.
Appl. 361
(2010), no. 1, 262--269.
Kochanek, Tomasz; Lewicki,
Micha\l. Stability problem for
number-theoretically multiplicative functions. Proc. Amer. Math. Soc. 135 (2007), no. 8, 2591-2597.
Kochanek, T.; Wyrobek, W. Measurable orthogonally additive
functions modulo a discrete subgroup. Acta Math. Hungar. 123 (2009), no. 3, 239--248.
Koliha, J. J.; Djordjevi\'c, Dragan; Cvetkovi\'c, Dragana. Moore-Penrose
inverse in rings with involution. Linear Algebra Appl. 426 (2007), no. 2-3, 371--381
Li, Ying; Zhang, Fengxia; Guo, Wenbin; Zhao, Jianli. Solutions with special
structure to the linear matrix equation $AX=B$. Comput. Math.
Appl. 61
(2011), no. 2, 374--383.
Liu, Zhibing; Wang, Kanmin; Xu, Chengfeng.
A note on Kantorovich inequality
for Hermite matrices. J. Inequal.
Appl.
2011, Art. ID 245767, 6 pp.
Lokesha, V.;Gowda,
Huche. Some results on adjoint
abelian and iso-abelian
operators on Banach space.Proc.
Jangjeon Math. Soc. 7 (2004),no.
2, 117-123.
Kurmayya, Tamminana; Sivakumar, Koratti C. Positive splittings
of matrices and their nonnegative Moore-Penrose inverses. Discuss. Math. Gen. Algebra Appl.
28 (2008), no. 2, 227--235.
Liu, Xiaoji; Hu,
Chunmei; Yu, Yaoming.
Further results on iterative methods for computing
generalized inverses. J. Comput. Appl. Math. 234 (2010), no. 3, 684--694.
Marco, Ana; Martínez,
José-Javier. Accurate computations with
Said-Ball-Vandermonde matrices. Linear Algebra Appl. 432 (2010), no. 11,
2894--2908.
Monov,
Vladimir V. Inequalities involving eigenvalues and diagonal entries of a nonnegative matrix. C. R. Acad. Bulgare Sci.
63 (2010), no. 2, 189--196.
Netzer, Tim.
On semidefinite representations
of non-closed sets. Linear Algebra Appl. 432 (2010), no. 12, 3072--3078.
Oseledets, Ivan; Muravleva, Ekaterina. Fast orthogonalization
to the kernel of the discrete gradient operator with application to Stokes
problem. Linear Algebra Appl.
432 (2010), no. 6, 1492--1500.
Palais, Bob; Palais, Richard; Rodi, Stephen. A disorienting
look at Euler's theorem on the axis of a rotation. Amer. Math. Monthly 116 (2009), no. 10, 892--909.
Park, Choonkil; Hong, Seong-Ki; Kim. Myoung-Jung
Jensen type quadratic-quadratic mapping in Banach
spaces. Bull. Korean Math. Soc. 43 (2006), no. 4, 703-709.
Park, Choonkil; Cui, Jianlian. Generalized
stability of $C\sp *$-ternary quadratic mappings. Abstr. Appl.
Anal. 2007, Art. ID 23282, 6 pp.
Park, Chun-Gil.
Multilinear mappings in Banach
modules over a $C\sp *$-algebra. Indian J. Pure Appl. Math. 35 (2004), no. 2, 183-192.
Park, Chun-Gil. Homomorphisms between Poisson $JC\sp *$-algebras. Bull. Braz. Math. Soc. (N.S.) 36 (2005), no. 1, 79-97.
Park, Chun Gil; Hou, Jin Chuan;
Oh, Sei Qwon.
Homomorphisms between $JC\sp *$-algebras and Lie
$C\sp *$-algebras. Acta Math. Sin. (Engl. Ser.) 21 (2005),
no. 6, 1391-1398.
Park,
Chun Gil; Shin, Joon-Kook. Generalized Jensen's equations in Banach modules. Indian J. Pure Appl. Math. 33 (2002), no. 12, 1867-1875.
Park, Chun-Gil; Wee, Hee-Jung.
Homomorphisms between Poisson Banach algebras and
Poisson brackets. Honam Math. J. 26 (2004),
no. 1, 61-75.
Park, Kyoo-Hong; Jung, Yong-Soo. Perturbations
of higher ternary derivations in Banach ternary
algebras. Commun. Korean Math. Soc. 23 (2008), no. 3,
387--399.
Pate, Thomas H. Lower bound inequalities for norms of
symmetrized tensor powers. Linear Algebra Appl. 432 (2010), no. 1,
116--133.
Pop, Vasile. Order
relation on the solutions sets of $Z$-conditional Cauchy equations on groups.
Carpathian J. Math. 20 (2004), no. 1, 119-123.
Raïssouli,
Mustapha; Leazizi, Fatima; Chergui,
Mohamed Arithmetic-geometric-harmonic mean of three positive operators. JIPAM. J. Inequal. Pure Appl. Math. 10 (2009), no. 4, Article 117, 11 pp.
Raïssouli, Mustapha; Chergui, Mohamed.
Physical interpretation for the arithmetic-harmonic mean of
several positive definite matrices. Arab. J. Sci. Eng. ASJE. Math. 35 (2010), no. 1D, 93--102.
Rassias, John Michael; Kim, Hark-Mahn.
Generalized Hyers-Ulam stability for general additive
functional equations in quasi-$\beta$-normed spaces.
J. Math. Anal. Appl. 356 (2009), no. 1, 302--309.
Retkes, Zoltán. An extension of the
Hermite-Hadamard inequality. Acta Sci. Math. (
Saito, Kichi-Suke; An, Runling; Mizuguchi, Hiroyasu; Mitani, Ken-Ichi. Another aspect of triangle inequality. ISRN Math. Anal. 2011, Art. ID
514184, 5 pp.
Seo, Yuki.
Reverses of the Golden-Thompson type inequalities due to Ando-Hiai-Petz. Banach J. Math. Anal. 2 (2008), no. 2, 140--149.
Sheng, Xingping; Chen.
Guoliang.
Several representations of generalized inverse $A\sb
{T,S}\sp {(2)}$ and their application. Int. J. Comput. Math. 85
(2008), no. 9, 1441--1453.
Shi, Huan-Nan. Generalizations of Bernoulli's
inequality with applications. J. Math. Inequal. 2
(2008), no. 1, 101--107.
Sivakumar, K.
C. A new characterization of nonnegativity of Moore-Penrose inverses of Gram operators.
Positivity
13 (2009), no. 1, 277--286.
Tabor, Jacek; Tabor, Józef.
Stability of the Cauchy functional equation in metric groupoids. Aequationes
Math. 76 (2008), no. 1-2, 92--104.
Takahasi, Sin-Ei; Rassias,
John M.; Saitoh, Saburou;
Takahashi, Yasuji. Refined
generalizations of the triangle inequality on Banach
spaces. Math. Inequal. Appl. 13 (2010), no. 4, 733--741.
Tian, Yongge; Styan,
George P. H. On some matrix equalities
for generalized inverses with applications. Linear
Algebra Appl. 430 (2009), no. 10, 2716--2733.
Tie, Lin; Cai, Kai-Yuan; Lin, Yan. Rearrangement inequalities
for Hermitian matrices. Linear
Algebra Appl. 434 (2011), no. 2, 443--456.
Tseng,
Kuei-Lin; Yang, Gou-Sheng; Hsu, Kai-Chen. Some
inequalities for differentiable mappings and applications to Fejér inequality
and weighted trapezoidal formula. Taiwanese J. Math. 15 (2011), no. 4,
1737--1747.
Vandereycken, Bart; Vandewalle, Stefan.
A Riemannian optimization approach for computing low-rank
solutions of Lyapunov equations.
Wang, Liang-Cheng; Liu, Li-Hong;
Ma, Xiu-Fen. Three mappings related to Chebyshev-type
inequalities. JIPAM. J. Inequal.
Pure Appl. Math. 9 (2008), no. 4, Article 113, 11 pp.
Weiss, Gary; Zarikian, Vrej. Paving small
matrices and the Kadison-Singer extension problem.
Oper.
Matrices 4 (2010), no. 3, 301--352.
Wilson, A.
John. Range of the trace of orthogonal matrices.
Indian J. Math. Math. Sci. 3 (2007),
no. 2, 217--222.
Wolna, Dorota. The stability of
monomial functions on a restricted domain. Aequationes
Math. 72 (2006), no. 1-2, 100-109.
Xie, Zitian. A new reverse Hilbert-type
inequality with a best constant factor. J. Math. Anal.
Appl. 343
(2008), no. 2, 1154--1160.
Xin, Dongmei; Yang, Bicheng. A Hilbert-type integral inequality in the whole plane with the
homogeneous kernel of degree $-2$. J. Inequal.
Appl.
2011, Art. ID 401428, 11 pp.
Xiong, Zhiping; Qin,
Yingying. Mixed-type
reverse-order laws for the generalized inverses of an operator product. Arab. J. Sci.
Eng. 36 (2011), no. 3, 475--486.
Xu, Qingxiang. Moore-Penrose inverses of partitioned adjointable operators on Hilbert $C\sp *$-modules. Linear Algebra Appl. 430 (2009), no.
11-12, 2929--2942.
Yanagi, Kenjiro. Uncertainty relation on
generalized Wigner-Yanase-Dyson skew information.
Linear Algebra Appl. 433 (2010),
no. 8-10, 1524--1532.
Yanagi, Kenjiro. Metric adjusted skew
information and uncertainty relation. J. Math. Anal.
Appl. 380
(2011), no. 2, 888--892.
Yang, D. Orthogonality
spaces and orthogonally additive mappings. Acta Math. Hungar.
113 (2006), no. 4, 269-280.
Yang, Hu; Li, Hanyu;
Shao, Hua.
Multiplicative perturbation bounds for weighted unitary polar factor. Math. Inequal. Appl. 13 (2010), no. 3, 537--553.
Yu,
Yaoming; Wang, Guorong.
On the generalized inverse $A\sp {(2)}\sb {T,S}$ over integer domains. Aust.
J. Math. Anal. Appl. 4 (2007), no. 1, Art. 16, 20 pp.
Yu, Yaoming; Wei, Y. Determinantal representation of the generalized inverse
$A\sp {(2)}\sb {T,S}$ over
integral domains and its applications. Linear Multilinear Algebra 57 (2009), no. 6, 547--559.
Zhang, Deng Hua;
Cao, Huai Xin. Stability of functional equations in several variables. Acta Math.
Sin. (Engl. Ser.) 23 (2007), no. 2, 321-326.
Zhong, Wuyi. The
Hilbert-type integral inequalities with a homogeneous kernel of
$-\lambda$-degree. J. Inequal. Appl. 2008, Art. ID 917392, 12 pp.
Zou, Li-min; Jiang, You-yi; Hu, Xing-kai. A note on a conjecture on the Frobenius
norm of matrices. J. Shandong Univ. Nat. Sci. 45
(2010), no. 4, 48--50.