Convexity and Banach envelope of the weak-𝐿_{𝑝} spaces

Ariño, Miguel A.

doi:10.1090/S0002-9939-1987-0894434-2

Convexity and Banach envelope of the weak-$L_ p$ spaces
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by Miguel A. Ariño PDF

Proc. Amer. Math. Soc. 100 (1987), 661-665 Request permission

Abstract:

The Banach envelope and a representation of the topological dual of the weak-${l_p}$ sequence spaces which involves the Lorentz sequence spaces are computed. The local convexity of weak-${L_p}$ spaces is studied also.

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