Automatic continuity of biseparating maps
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 true.
math.FA↗
arXiv subjects
Krzysztof Jarosz
Publications and source records attributed to Krzysztof Jarosz.
Biseparating maps between operator algebras
We prove that a biseparating map between spaces B(E), and some other Banach algebras, is automatically continuous and an algebra isomorphism.
math.OA↗
Isomorphisms of function modules, and generalized approximation in modulus
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 functions' with respect to A. We also consider certain groups which are naturally associated with A. We illustrate the notions considered with several examples.
math.FA↗