Email this article The $p$-convexity functor for $L_p(X)$-spaces
- Authors: Volosova N.V.1
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Affiliations:
- Financial University under the Government of the Russian Federation
- Issue: Vol 213, No 6 (2022)
- Pages: 3-12
- Section: Articles
- URL: https://bakhtiniada.ru/0368-8666/article/view/133445
- DOI: https://doi.org/10.4213/sm9674
- ID: 133445
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Abstract
A construction for transforming an arbitrary $L_p(X)$-norm on a normed space $E$ into a $p$-convex norm is put forward. By applying this construction to the projective tensor norm, an explicit formula for the maximal $p$-convex $L_p(X)$-norm on $E$ is obtained. Bibliography: 9 titles.
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About the authors
Nina Vladimirovna Volosova
Financial University under the Government of the Russian Federation
Email: volosova_nv@mail.ru
References
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