Electronic Resource
Oxford, UK
:
Blackwell Publishing Ltd
Annals of the New York Academy of Sciences
788 (1996), S. 0
ISSN:
1749-6632
Source:
Blackwell Publishing Journal Backfiles 1879-2005
Topics:
Natural Sciences in General
Notes:
In this note we provide an elementary proof of the following generalization of Holsztyński's theorem [2]: If there exists a linear isometry T of a completely regular subspace A of C0 (X) into C0 (Y), then there is a subset Y0 of Y and a continuous map h of Y0 onto X and a continuous map a:Y0→K, |a| = 1, such that (Tf)(y) =a(y)f(h(y)) for all y∈Y and all f∈A. As a consequence, we extend to C0(X)-spaces an old result by Myers [3].
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1111/j.1749-6632.1996.tb36792.x
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