Product spaces generated by bilinear maps and duality

2014/08/09 by Enrique A. Sánchez‐Pérez, Sanchez-Perez, Enrique A. · 1 citation
Mathematics · #46A32 #46B10 #46E30 #47A30 #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1408.2147

openalex publication_date 2014/08/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We analyze a definition of product of Banach spaces that is naturally associated by duality with an abstract notion of space of multiplication operators. This dual relation allows to understand several constructions coming from different fields of the functional analysis, that can be seen as instances of the abstract one when a particular product is considered. Some relevant examples and applications are shown.

Citations

• Pointwise products of some Banach function spaces and factorization

Cited by

• Projection from space of two-Lipschitz operators onto the space of Bilinear maps

Related

• Products and Factors of Banach function spaces
• A duality operators/Banach spaces
• Preduals and double preduals of some Banach spaces
• Complemented subspaces of products of Banach spaces
• Multiplication Semigroups on Banach Function Spaces