Displaying similar documents to “Continuous extenders in normal and collectionwise normal spaces”

On positive embeddings of C(K) spaces

Grzegorz Plebanek (2013)

Studia Mathematica

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We investigate isomorphic embeddings T: C(K) → C(L) between Banach spaces of continuous functions. We show that if such an embedding T is a positive operator then K is the image of L under an upper semicontinuous set-function having finite values. Moreover we show that K has a π-base of sets whose closures are continuous images of compact subspaces of L. Our results imply in particular that if C(K) can be positively embedded into C(L) then some topological properties of L, such...