LIGHT GROUPS OF ISOMORPHISMS OF BANACH SPACES AND INVARIANT LUR RENORMINGS

Autor(es)

Antunes, Leandro ^[1] ; Ferenczi, Valentin ^[2] ; Grivaux, Sophie ^[3] ; Rosendal, Christian ^[4]

Afiliação do(s) autor(es)

^[1] Univ Tecnol Fed Parana, Dept Matemat, Campus Toledo, Toledo, PR - Brazil

^[2] Univ Sao Paulo, Inst Matemat & Estat, Dept Matemat, Sao Paulo, SP - Brazil

^[3] Univ Lille, CNRS, UMR 8524, Lab Paul Painleve, Lille - France

^[4] Univ Illinois, Dept Math Stat & Comp Sci, Chicago, IL 60680 - USA

• Tipo de documento: Artigo Científico
• Fonte: PACIFIC JOURNAL OF MATHEMATICS; v. 301, n. 1, p. 31-54, JUL 2019.
• Citações Web of Science: 0

Resumo

Megrelishvili (2001) defines light groups of isomorphisms of a Banach space as the groups on which the weak and strong operator topologies coincide, and proves that every bounded group of isomorphisms of Banach spaces with the point of continuity property (PCP) is light. We investigate this concept for isomorphism groups G of classical Banach spaces X without the PCP, specially isometry groups, and relate it to the existence of G -invariant LUR or strictly convex renormings of X. (AU)

• Processo FAPESP: 16/25574-8 - Geometria dos espaços de Banach
• Beneficiário: Valentin Raphael Henri Ferenczi
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Processo FAPESP: 13/11390-4 - Somas torcidas, posições, e Teoria de Ramsey em Espaços de Banach
• Beneficiário: Valentin Raphael Henri Ferenczi
• Modalidade de apoio: Auxílio à Pesquisa - Regular