No Title A closed subalgebra of a C*-algebra that isn't self-adjoint.

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The disc algebra A(D) 1 is a closed subalgebra of the C*-algebra C(D). If f and [`f] both belong to A(D), then by the Cauchy-Riemann equations f will be constant. So A(D) isn't self-adjoint.

Footnotes:

1(VIII)  Let D denote the closed unit disc {z Î C, |z| £ 1}. Suppose that A(D) denoted the set of all elements of C(D) which are analytic on the interior of D. A(D) is a closed subalgebra of C(D).

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On 22 Feb 2001, 00:18.