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Winter 2019 On some inequalities for the approximation numbers in Banach algebras
Nicolae Tiţa, Maria Talpău Dimitriu
Adv. Oper. Theory 4(1): 156-163 (Winter 2019). DOI: 10.15352/aot.1802-1314

Abstract

In this paper, we generalize some inequalities for the approximation numbers of an element in a normed (Banach) algebra $X$ and, as an application, we present inequalities for the quasinorms of some ideals defined by means of the approximation numbers.

In particular, if $X=L(E)$ - the algebra of linear and bounded operators $T:E \to E$, where $E$ is a Banach space, we obtain inequalities for certain quasinorms of operators.

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Nicolae Tiţa. Maria Talpău Dimitriu. "On some inequalities for the approximation numbers in Banach algebras." Adv. Oper. Theory 4 (1) 156 - 163, Winter 2019. https://doi.org/10.15352/aot.1802-1314

Information

Received: 5 March 2018; Accepted: 19 April 2018; Published: Winter 2019
First available in Project Euclid: 10 May 2018

zbMATH: 06946448
MathSciNet: MR3867339
Digital Object Identifier: 10.15352/aot.1802-1314

Subjects:
Primary: 47A63
Secondary: 46H10, 47A58

Rights: Copyright © 2019 Tusi Mathematical Research Group

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Vol.4 • No. 1 • Winter 2019
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