On Pták functions for bounded operators
Keywords:
Pseudo-Hilbertizable space, Hilbert space, Normed algebra, Q-algebra, Hermitian element, Hermitian Banach algebra, Pták function, Bounded linear operator, C*-algebra, Mobius transformationAbstract
The purpose of this paper is to prove that if the Pták function p is an operator norm, on \mathcal{B}(E), associated to a norm | . |, then (E, | . |) is a pseudo-Hilbert space. As a consequence, we obtain that if \mathcal{B}(E) is a C*-algebra, then E is a Hilbert space.Downloads
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