arXiv:2308.03634 Abstract | arXiv Analytics

arXiv:2308.03634 [math.FA]Abstract References Reviews Resources

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

Published 2023-08-07Version 1

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.

Comments: 34 pages

Categories: math.FA

Subjects: 46M05, 47A80, 53C23, 16D90, 18F15

Keywords: injective tensor products, projective, finite measure space, independent interest, quotient operators

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