Transfinite (almost isometric) ideals in Banach spaces

Revista Matemática Complutense 2026 Open access

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Authors: Esteban Martínez Vañó, Abraham Rueda Zoca
DOI: 10.1007/s13163-026-00572-w
Cited by: 0
References: 38

Abstract

Abstract We present and study some transfinite versions of (almost isometric) ideals in Banach spaces. As these notions are closely related with Lindenstrauss and Gurariĭ spaces respectively, we will present a similar characterization for transfinite injective spaces and spaces of (almost) universal disposition in terms of these transfinite ideals. Furthermore, we construct several examples outside these type of Banach spaces and make a revision of some classical results for transfinite ideals.

Fields of Study & Subjects

Advanced Banach Space Theory Optimization and Variational Analysis Fixed Point Theorems Analysis

Publication details

Journal / source
Revista Matemática Complutense
Publisher
Springer Science and Business Media LLC
Publication date
16 April 2026
Language
EN