## Smoothness and Renormings in Banach Spaces

- R. Deville, G. Godefroy, V. Zizler
- Pitman Monographs and Surveys in Pure and Applied…
- 1993

1. Definitions and preliminaries. In this note, X and Y denote Banach spaces and X∗ and Y∗ denote the conjugate spaces of X and Y , respectively. Let A⊂X be a closed subset and X/A denote the quotient space. We use S(X) for the unit sphere in X and Plp (Xi) for the lp product space. We refer to [1, 3] for the following definitions and notations. For more… (More)

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