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

Enrico Pasqualetto

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arXiv · 2308.03634

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

Enrico Pasqualetto

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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.

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Enrico Pasqualetto. 2023-08-07. Projective and injective tensor products of Banach $L^0$-modules. https://arxiv.org/abs/2308.03634

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