On Disjointly Singular Centralizers

Autor(es)

Castillo, Jesus M. F. ; Cuellar, Wilson ; Ferenczi, Valentin ; Moreno, Yolanda

• Tipo de documento: Artigo Científico
• Fonte: Israel Journal of Mathematics; v. 252, n. 1, p. 27-pg., 2022-09-09.

Resumo

We study "disjoint" versions of the notions of trivial, locally trivial, strictly singular and super-strictly singular quasi-linear maps in the context of Kothe function spaces. Among other results, we show: (i) (locally) trivial and (locally) disjointly trivial notions coincide on reflexive spaces; (ii) on non-atomic superreflexive Kothe spaces, no centralizer is singular, although most are disjointly singular. (iii) no supersingular quasi-linear maps exist between superreflexive spaces although Kalton-Peck centralizers are super-disjointly singular; (iv) disjoint singularity does not imply super-disjoint singularity. (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: 15/17216-1 - Somas torcidas e representações de grupos em espaços de Banach
• Beneficiário: Valentin Raphael Henri Ferenczi
• Modalidade de apoio: Bolsas no Exterior - Pesquisa
• Processo FAPESP: 18/18593-1 - Métodos homológicos e de teoria descritiva em espaços de Banach
• Beneficiário: Wilson Albeiro Cuellar Carrera
• Modalidade de apoio: Auxílio à Pesquisa - Regular