Banach algebras and absolutely summing operators
Published online by Cambridge University Press: 24 October 2008
Extract
If R is a Banach algebra and ø ∈ R′, the dual space, then we may define a bounded linear map by
We shall show that for suitable p the requirement that each be p-absolutely summing constrains R to be an operator algebra, or even, in certain cases, a uniform algebra. In this way we are able to give generalizations of results of Varopoulos (12) and Kaijser (4).
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 80 , Issue 3 , November 1976 , pp. 465 - 473
- Copyright
- Copyright © Cambridge Philosophical Society 1976
References
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