caa a22 4500 606200509 CHVBK 20210128100944.0 cr unu---uuuuu 210128e20150601xx s 000 0 eng 10.1007/s00025-014-0411-5 doi (NATIONALLICENCE)springer-10.1007/s00025-014-0411-5 Extension Property and Complementation of Isometric Copies of Continuous Functions Spaces [Elektronische Daten] [Claudia Correa, Daniel Tausk] We prove that every isometric copy of C(L) in C(K) is complemented if L is a compact Hausdorff space of finite height and K is a compact Hausdorff space satisfying the extension property, i.e., every closed subset of K admits an extension operator. The space C(L) can be replaced by its subspace C(L|F) consisting of functions that vanish on a closed subset F of L. We also study the class of spaces having the extension property, establishing some stability results for this class and relating it to other classes of compact spaces. Springer Basel, 2014 Banach spaces of continuous functions nationallicence extension and averaging operators nationallicence complementation of subspaces nationallicence Correa Claudia Departamento de Matemática, Universidade de São Paulo, São Paulo, Brazil aut Tausk Daniel Departamento de Matemática, Universidade de São Paulo, São Paulo, Brazil aut Results in Mathematics Springer Basel 67/3-4(2015-06-01), 445-455 1422-6383 67:3-4<445 2015 67 25 https://doi.org/10.1007/s00025-014-0411-5 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00025-014-0411-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Correa Claudia Departamento de Matemática, Universidade de São Paulo, São Paulo, Brazil aut NATIONALLICENCE 700 1- Tausk Daniel Departamento de Matemática, Universidade de São Paulo, São Paulo, Brazil aut NATIONALLICENCE 773 0- Results in Mathematics Springer Basel 67/3-4(2015-06-01), 445-455 1422-6383 67:3-4<445 2015 67 25