Three-space problem for locally uniformly rotund renormings of Banach spaces

Godefroy, G.; Troyanski, S.; Whitfield, J.; Zizler, V.

doi:10.1090/S0002-9939-1985-0792277-X

Three-space problem for locally uniformly rotund renormings of Banach spaces
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by G. Godefroy, S. Troyanski, J. Whitfield and V. Zizler PDF

Proc. Amer. Math. Soc. 94 (1985), 647-652 Request permission

Abstract:

If $Y$ is a subspace of a real Banach space $X$ such that $X/Y$ admits an equivalent LUR norm, then $X$ admits an equivalent LUR (strictly convex) norm provided $Y$ also does.

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Renormages de quelques

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