Extending into isometries of K(X,Y)

Rao, T. S. S. R. K. (2006) Extending into isometries of K(X,Y) Proceedings of the American Mathematical Society, 134 (7). pp. 2079-2082. ISSN 0002-9939

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Official URL: http://www.ams.org/journals/proc/2006-134-07/S0002...

Related URL: http://dx.doi.org/10.1090/S0002-9939-06-08178-0

Abstract

In this paper we generalize a result of Hopenwasser and Plastiras (1997) that gives a geometric condition under which into isometries from K( l2) to L(l2) have a unique extension to an isometry in L(l(l2)) . We show that when X and Y are separable reflexive Banach spaces having the metric approximation property with X strictly convex and Y smooth and such that K(X,Y) is a Hahn-Banach smooth subspace of L(X,Y) , any nice into isometry ψo : K(X,Y) → L(X,Y) has a unique extension to an isometry in L(L(X,Y)).

Item Type:Article
Source:Copyright of this article belongs to American Mathematical Society.
Keywords:Isometries; Hahn-banach Smooth Spaces
ID Code:64782
Deposited On:14 Oct 2011 06:47
Last Modified:14 Oct 2011 06:47

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