Remarks on Lipschitz p-summing operators


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