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Note on almost isometric ideals and local retracts in Banach and metric spaces

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Autor(es):
Candido, Leandro ; Cuth, Marek ; Smetana, Ondrej
Número total de Autores: 3
Tipo de documento: Artigo Científico
Fonte: PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS; v. N/A, p. 25-pg., 2024-08-27.
Resumo

We exhibit a new approach to the proofs of the existence of a large family of almost isometric ideals in nonseparable Banach spaces and existence of a large family of almost isometric local retracts in metric spaces. Our approach also implies the existence of a large family of nontrivial projections on every dual of a nonseparable Banach space. We prove three possible formulations of our results are equivalent. Some applications are mentioned which witness the usefulness of our novel approach. (AU)

Processo FAPESP: 23/12916-1 - Geometria de espaços de Banach
Beneficiário:Valentin Raphael Henri Ferenczi
Modalidade de apoio: Auxílio à Pesquisa - Temático