A. Brudnyi, Y. Brudnyi, “Linear and nonlinear extensions of Lipschitz functions from subsets of metric spaces”, Algebra i Analiz, 2007, Volume 19, Issue 3,Pages <nobr>106

This article is cited in 9 papers

Research Papers

Linear and nonlinear extensions of Lipschitz functions from subsets of metric spaces

A. Brudnyi^a, Y. Brudnyi^b

^a Department of Mathematics and Statistics, University of Calgary, Calgary, Canada
^b Department of Mathematics, Technion, Haifa, Israel

Abstract: A relationship is established between the linear and nonlinear extension constants for Lipschitz functions defined on subsets of metric spaces. Proofs of several results announced in our earlier paper are presented.

Keywords: Lipschitz function, linear extension operator, Banach space.

MSC: 54E40

Received: 20.04.2006

Language: English