Abstract
We obtain the existence theorem for the projective tensor product of p-convex, \(p\in [1,\infty )\), \(L_p(X)\)-spaces, generalizing p-multinormed spaces of Dales et al. Earlier this result was known under additional assumptions on the measure space X. Now it is proved in full generality.
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It is a pleasure for the author to thank the referee, whose competent comments contributed to the improvement of the present work.
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This paper was written with the support of the Russian Foundation for Basic Research (Grant No. 19-01-00447).
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Helemskii, A.Y. The existence of p-convex tensor products of \(L_p(X)\)–spaces for the case of an arbitrary measure. Positivity 25, 649–662 (2021). https://doi.org/10.1007/s11117-020-00771-9
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DOI: https://doi.org/10.1007/s11117-020-00771-9