The existence of p-convex tensor products of L_p(X)-spaces for the\n case of an arbitrary measure

2020/03/13 by A. Ya. Helemskii, Helemskii, A. Ya.
Mathematics · Physics and Astronomy · #46L07 #46M05 #Advanced Banach Space Theory #Advanced Differential Geometry Research #FOS: Mathematics #Fixed Point Theorems Analysis #Functional Analysis (math.FA)

paper · pdf · doi:10.48550/arxiv.2003.06320

openalex publication_date 2020/03/13 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28

Abstract

We obtain a far-reaching generalization (in several directions) of the\ntheorem of A. Lambert on the existence of the projective tensor product of\noperator sequence spaces. This result is obtained in the context of spaces,\ngeneralizing p-multinormed spaces of Dales et al. which are based on an\narbitrary, perhaps non-discrete measure.\n

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