Homomorphisms on real-valued little Lipschitz function spaces

We describe the general form of algebra, ring and vector lattice homomorphisms between spaces of real-valued little Lipschitz functions on compact Hölder metric spaces ( X , d α ) for 0 < α < 1 .

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Bibliographic Details
Published in:Topology and its applications 2009-12, Vol.156 (18), p.2908-2913
Main Authors: Jiménez-Vargas, A., Villegas-Vallecillos, Moisés
Format: Article
Language:English
Subjects:
Banach–Stone theorem
Hölder function
Little Lipschitz function
Ring homomorphism
Vector lattice homomorphism
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Description
Summary:We describe the general form of algebra, ring and vector lattice homomorphisms between spaces of real-valued little Lipschitz functions on compact Hölder metric spaces ( X , d α ) for 0 < α < 1 .
ISSN:0166-8641
1879-3207
DOI:10.1016/j.topol.2009.01.016