Bilinear isometries on spaces of vector valued continuous functions

In many Banach spaces of analytic functions all the isometries or, at least, the surjective isometries (unitary operators) are known.. In the Hilbert spaces there are much

Keener, Real analytic approximation of Lipschitz func- tions on Hilbert space and other Banach spaces, preprint..

Keywords: Ultracompleteness, ˇ Cech-completeness, countable type, point- wise countable type, Lindel¨ of Σ-spaces, splittable spaces, Eberlein compact spaces, almost locally

Lying between the compact spaces and the cofinally complete spaces is the class of UC-spaces, also known as Atsuji spaces, which are those metric spaces on which each

In this article we obtain, in ZF C and assuming SCH, some upper and lower bounds of the ˇ Cech number of spaces C p (X) of realvalued continuous functions defined on an ordinal space

Using compactness properties of bounded subsets of spaces of vector measure integrable functions and a representation the- orem for q-convex Banach lattices, we prove a

concerning the existence of a continuous utility function for a not necessarily linear closed preorder on a second countable locally compact Hausdorff space.. In connection with

According to Theorem 2.1, we can conclude that the space Q of rational numbers and the space R \ Q of irrational numbers with the usual metric are not straight. Applying Lemma 1.1