It is shown that the concept of zero set for the Haar measure can be generalized to abelian Polish groups which are not necessarily locally compact. It turns out that these groups, in many respects,… Expand

We prove that the set of all functions/: [-1, l]-»[-l, 1] operating on real positive definite matrices and normalized such that/(l) = 1, is a Bauer simplex, and we identify its extreme points. As an… Expand

To mot ivate the following results let us recall some definitions and results with relation to the m o m e n t problem. Let (S, + ) be an abelian semigroup with neutral element 0. A real-valued… Expand

Some recent results of Namioka on strong continuity of weakly continuous mappings (in a dense G3 set) and results of R. E. Johnson on norm separability of the range of such mappings (under conditions… Expand

ABsmRAcr. It is shown that a separately continuous function f: X x Y -+ Z from the product of a certain type of Hausdorff space X and a compact Hausdorff space Y into a metrizable space Z is jointly… Expand