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Title: Ideal operators and relative Godun sets
Authors: Dutta, S.
Jayanarayanan, C. R.
Khurana, D.
Keywords: Ideals;Almost isometric ideals;Strict ideals;Maximal ideal operator;Godun sets;VN- subspaces;Ideales;Ideales casi isométricos;Ideales estrictos;Operador ideal máximo;Conjuntos de Godun
Issue Date: 2019
Publisher: Universidad de Extremadura
Abstract: In this paper we study ideals in Banach spaces through ideal operators. We provide characterisation of recently introduced notion of almost isometric ideal which is a version of Principle of Local Reexivity for a subspace of a Banach space. Studying ideals through ideal operators give us better insight in to the properties of these subspaces vis-a-vis properties of the space itself. We provide a few applications of our characterisation theorem.
DOI: 10.17398/2605-5686.34.1.1
Appears in Collections:Extracta Mathematicae Vol. 34, nº 1 (2019)

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