Published January 15, 2021 | Version v1
Publication

Summability Properties for Multiplication Operators on Banach Function Spaces

Description

Consider a couple of Banach function spaces X and Y over the same measure space and the space XY of multiplication operators from X into Y . In this paper we develop the setting for characterizing certain summability properties satisfied by the elements of XY . At this end, using the "generalized K¨othe duality" for Banach function spaces, we introduce a new class of norms for spaces consisting of infinite sums of products of the type xy with x ∈ X and y ∈ Y .

Abstract

Universitat Politécnica de Valencia PAID-06-08 Ref. 3093

Abstract

Ministerio de Educación y Ciencia MTM2006-13000-C03-01

Additional details

Created:
December 5, 2022
Modified:
November 27, 2023