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Complex strict and uniform convexity and hyponormal operators

Published online by Cambridge University Press:  24 October 2008

Kirsti Mattila
Kirsti Mattila
Affiliation:
Department of Mathematics, University of Stockholm, 11385 Stockholm
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Abstract

Let X be a complex Banach space. We denote by X* the dual space of X and by B(X) the space of all bounded linear operators on X. The (spatial) numerical range of an operator TεB(X) is defined as the set

If V(T) ⊂ ℝ, then T is called hermitian. More about numerical ranges may be found in [8] and [9].

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 96 , Issue 3 , November 1984 , pp. 483 - 493
Copyright
Copyright © Cambridge Philosophical Society 1984

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References

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