ITES2001 - Fourth Italian-Spanish Conference on
GENERAL TOPOLOGY AND ITS APPLICATIONS
Bressanone, 27-30 June 2001

A Banach-Stone Theorem for Lipschitz Functions
Isabel Garrido
Universidad de Extremadura, Spain

The abstract of the talk (see below) may be downloaded in one of the following formats:


Recently, we have proved that the vector lattice structure of $Lip (X)$, the
family of all real Lipschitz functions on the complete metric space $X$,
determines the Lipschitz structure of $X$. Easy examples show that, in general,
there is no analogous result for $Lip^*(X)$, the family of all bounded  real
Lipschitz functions on $X$. In this talk we show that a Banach-Stone type
theorem for $Lip^*(X)$ works in the class of complete "lenght spaces" or, more
generally, complete quasi-convex spaces.
\vskip10pt
{\em (Joint work with J. A. Jaramillo)}


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