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

Enrico Pasqualetto

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

Functional Analysis 2023-08-08 v1

Authors: Enrico Pasqualetto

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.

Keywords

banach l0-modules projective tensor product injective tensor product quotient operators summable families schauder bases

Cite

@article{arxiv.2308.03634,
  title  = {Projective and injective tensor products of Banach $L^0$-modules},
  author = {Enrico Pasqualetto},
  journal= {arXiv preprint arXiv:2308.03634},
  year   = {2023}
}

Comments

34 pages

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