Projective and injective tensor products of Banach $$L^0$$-modules-Reference-Cited by-同舟云学术

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

Published:2024-01 Issue:1 Volume:15 Page:
ISSN:2639-7390
Container-title:Annals of Functional Analysis
language:en
Short-container-title:Ann. Funct. Anal.

Author:

Pasqualetto Enrico^ORCID

Abstract

AbstractWe study projective and injective tensor products of Banach

$$L^0$$

L 0 -modules over a

$$\sigma $$

σ -finite measure space. En route, we extend to Banach

$$L^0$$

L 0 -modules several technical tools of independent interest, such as quotient operators, summable families, and Schauder bases.

Funder

University of Jyväskylä

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1007/s43034-023-00312-x.pdf

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3. Bessaga, C., Pełczyński, A.: Selected Topics in Infinite-Dimensional Topology, Monografie Matematyczne. Polska Akademia Nauk, Instytut Matematyczny, Warszawa (1975)

4. Bogachev, V.I.: Measure Theory, vol. I, II. Springer, Berlin (2007)

5. Bourbaki, N.: Livre II algèbre chapitre III (état 4) algèbre multilinéaire (1948). http://archives-bourbaki.ahp-numerique.fr/files/original/97a9fed708bdde4dc55547ab5a8ff943.pdf. Accessed 06 August 2023

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