cvgmt: Projective and injective tensor products of Banach $L^0$-modules

Calculus of Variations and Geometric Measure Theory

E. Pasqualetto

Projective and injective tensor products of Banach $L^0$-modules

created by pasqualetto on 08 Aug 2023

[BibTeX]

preprint

Inserted: 8 aug 2023

Year: 2023

Abstract:

We study projective and injective tensor products of Banach $L^0$-modules over a $\sigma$-finite measure space. En route, we extend to Banach $L^0$-modules several technical tools of independent interest, such as quotient operators, summable families, and Schauder bases.