Projections in the J-sums of Banach spaces

González Ortiz, Manuel; Pello García, Javier

doi:10.1007/s13398-024-01654-4

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Identificadores

URI: https://hdl.handle.net/10902/34023

DOI: 10.1007/s13398-024-01654-4

ISSN: 1578-7303

ISSN: 1579-1505

Fecha

2024-10

Derechos

This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.

Publicado en

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas, 2024, 118(4), 162

Editorial

Springer

Enlace a la publicación

https://doi.org/10.1007/s13398-024-01654-4

Palabras clave

Projections

Complemented Banach space

J-sum of Banach spaces

Resumen/Abstract

We study some families of projections in the J -sums of Banach spaces J (Φ) and Jˆ(Φ) introduced by Bellenot. As an application, we show that, under some conditions, J (Φ) and Jˆ(Φ) are subprojective, i.e., every closed infinite-dimensional subspace of either of them contains a complemented infinite-dimensional subspace.

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This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.

Excepto si se señala otra cosa, la licencia del ítem se describe como This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.