On some operator ideals defined by approximation numbers



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Cobos, Fernando and Resina, Ivam (1989) On some operator ideals defined by approximation numbers. In Geometric aspects of Banach Spaces. London Mathematical Society Lecture Note Series (140). Cambridge University Press, Cambridge, pp. 133-139. ISBN 9780521367523


The authors prove a representation theorem in terms of finite rank operators for operators´T on Banach spaces which satisfy sup n2N (log n) an(T) < 1, 0 < < 1.
Here an(T) denote the approximation numbers. The theorem is in formal analogy to the Lp-type theorem for approximation number ideals.

Item Type:Book Section
Uncontrolled Keywords:Espacios de Banach
Subjects:Sciences > Mathematics > Functional analysis and Operator theory
ID Code:22547
Deposited On:24 Jul 2013 11:13
Last Modified:25 Oct 2013 13:35

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