Remarks on Lipschitz p-summing operators
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 → H is Lipschitz with X being a pointed metric space and T(0) = 0 such that T#{pipe}H* is q-summing (1 ≤ q < ∞), then T is Lipschitz 1-summing. © 2010 American Mathematical Society.
Publication Title
Proceedings of the American Mathematical Society
Recommended Citation
Chen, D., & Zheng, B. (2011). Remarks on Lipschitz p-summing operators. Proceedings of the American Mathematical Society, 139 (8), 2891-2898. https://doi.org/10.1090/S0002-9939-2011-10720-2
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