3 papers
math.OA2001
Biseparating maps between operator algebras
Jesus Araujo, Krzysztof Jarosz
We prove that a biseparating map between spaces B(E), and some other Banach algebras, is automatically continuous and an algebra isomorphism.
math.FA2001
Automatic continuity of biseparating maps
Jesus Araujo, Krzysztof Jarosz
We prove that a biseparating map between spaces of vector-valued continuous functions is usually automatically continuous. However, we also discuss special cases when it is not tru…
math.FA1999
Isomorphisms of function modules, and generalized approximation in modulus
David P. Blecher, Krzysztof Jarosz
For a function algebra A we investigate relations between the following three topics: isomorphisms of singly generated A-modules, Morita equivalence bimodules, and `real harmonic f…