A selfadjoint operator
A selfadjoint operator T
¹
0 on a Hilbert space such that T is neither positive nor negative.
******************************
Consider T = (
-
1
0
0
1
) belonging to B(
C
2
),
x
= (
1
0
) and
h
= (
0
1
). Then < T
x
,
x
> =
-
1 and < T
h
,
h
> = 1. Hence the selfadjoint operator T is neither positive nor negative.
File translated from T
E
X by
T
T
H
, version 2.70.
On 22 Feb 2001, 00:21.