Ideal operators and relative Godun sets

• S. Dutta ; C.R. Jayanarayanan ^[2] ; Divya Khurana ^[1]
  1. [1] Weizmann Institute of Science

     Weizmann Institute of Science

     Israel

     
  2. [2] Indian Institute of Technology Palakkad
• Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 34, Nº 1, 2019, págs. 1-17
• Idioma: inglés
• DOI: 10.17398/2605-5686.34.1.1
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• Resumen

  • 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 Reflexivity 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.