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The power inequality on Banach spaces

Published online by Cambridge University Press:  24 October 2008

Béla Bollobás
Béla Bollobás
Affiliation:
Trinity College, Cambridge
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Let X be a complex normed space with dual space X′ and let T be a bounded linear operator on X. The numerical range of T is defined as

and the numerical radius is v(T) = sup {|ν: νε V(T)}. Most known results and problems concerning numerical range can be found in the notes by Bonsall and Duncan (5).

Information

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 69 , Issue 3 , May 1971 , pp. 411 - 415
Copyright
Copyright © Cambridge Philosophical Society 1971

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References

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