2009/03/19 by Vesko Valov, Valov, Vesko
Mathematics · #Advanced Banach Space Theory #Advanced Topology and Set Theory #Approximation Theory and Sequence Spaces #math.FA #math.GN #msc:28A33 #msc:54C10
paper · pdf · doi:10.48550/arxiv.0903.3435
26 pages
arxiv created 2009/04/29 · arxiv updated 2009/12/01
The notion of a regular operator with compact supports between function spaces is introduced. On that base we obtain a characterization of absolute extensors for zero-dimensional spaces in terms of regular extension operators having compact supports. Milyutin maps are also considered and it is established that some topological properties, like paracompactness, metrizability and k-metrizability, are preserved under Milyutin maps.