Introduction. Kakutani's fixed point theorem [3]1 states that in Euclidean Â«-space a closed point to (nonvoid) convex set map of a convex compact set into itself has a fixed point. Kakutani showedâ€¦ (More)

For G a locally compact abelian group, any closed invariant proper subalgebra of CQ(G) has analytic discs in its spectrum. Related results are given for A(G) and B(G). For a compact group G it is anâ€¦ (More)

1. Let X be a locally compact Hausdorff space, C(X)ÃŸ the locally convex topological vector space obtained from all bounded complex continuous functions on X by employing the strict topology [2]. Theâ€¦ (More)

I t is not hard to see that A and B together are equivalent to the following: The collection of Borel sets on which fi vanishes identically is invariant under rotation. This is the assertionâ€¦ (More)