Unrestricted products of contractions in Banach spaces

P. K. Lin

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arXiv · math/9210211

Unrestricted products of contractions in Banach spaces

P. K. Lin

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Abstract

Let $X$ be a reflexive Banach space such that for any $x \ne 0$ the set $$ \{x^* \in X^*: \text {$\|x^*\|=1$ and $x^*(x)=\|x\|$}\} $$ is compact. We prove that any unrestricted product of of a finite number of $(W)$ contractions on $X$ converges weakly.

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BibTeX RIS

P. K. Lin. 1992-10-30. Unrestricted products of contractions in Banach spaces. https://arxiv.org/abs/math/9210211

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