Search

Showing total 1 results

Refine your results

1 results

1. Remarks on Lipschitz $p$-summing operators.

Author

Dongyang Chen and Bentuo Zheng

Subjects
*OPERATOR theory, *EXTRAPOLATION, *MATHEMATICAL proofs, *NONLINEAR theories, *METRIC spaces, *MATHEMATICAL analysis, *MATHEMATICS
Abstract

In this paper, a nonlinear version of the Extrapolation Theorem is proved and, as a corollary, a nonlinear version of Grothendieck's Theorem is presented. Finally, we prove that if $ T:X\to H$ being a pointed metric space and $ T(0)=0$ $ T^\char93 \vert _{H^*}$-summing $ (1\le q<\infty)$ is Lipschitz 1-summing. [ABSTRACT FROM AUTHOR]

Published
2011
Full Text
View/download PDF