This article is cited in 2 papers

Papers published in the English version of the journal

A Note on the Symmetry of Sequence Spaces

D. Carando^a, M. Mazzitelli^b, P. Sevilla-Peris<sup>c

a</sup> Departamento de Matemática and IMAS, Universidad de Buenos Aires and CONICET, Buenos Aires, C1428EGA Argentina
^b Instituto Balseiro, CNEA-Universidad Nacional de Cuyo and CONICET, San Carlos de Bariloche, R8402AGP Argentina
^c Institut Universitari de Matemàtica Pura i Aplicada, Universitat Politècnica de València, València, 46022 Spain

Abstract: We give a self-contained treatment of symmetric Banach sequence spaces and some of their natural properties. We are particularly interested in the symmetry of the norm and the existence of symmetric linear functionals. Many of the presented results are known or commonly accepted but are not found in the literature.

Received: 20.09.2019
Revised: 17.11.2020

Language: English

 English version: Mathematical Notes, 2021, 110:1, 26–40

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