OPERATOR IDEALS AND s-NUMBERS

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Date

2020

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Publisher

Faculty of Mathematics and computer sciences Department of Mathematics - Option :Functional Analysis

Abstract

In the theory of s-numbers, on associates with every bounded linear operator T from a Banach space X into a Banach space Y various kinds of scalar sequences kTk = s1(T) ≥ s2(T) ≥...≥ 0. In this memory we present an axiomatic theory of s-numbers and we discuss related operator ideals obtained in this way.

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Keywords

Finite rank operator, s-number, Operator ideal, Entropy number.

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