Given a compact space K, we denote by P (K) the space of all Radon probability measures
on K, equipped with the weak* topology inherited from C (K)*. For nonmetrizable compacta …

We prove that if $ K $ is a compact space and the space $ P (K\times K) $ of regular
probability measures on $ K\times K $ has countable tightness in its $ weak^* $ topology …

We construct a compact Hausdorff space KK such that the space P (K) P(K) of Radon
probability measures on KK considered with the weak∗ weak^* topology (induced from the …

A well-known classical result states that c 0 is linearly embeddable in a Banach lattice if and
only if it is lattice embeddable. Improving results of HP Lotz, HP Rosenthal and N …

We consider the class of Banach spaces Y for which c 0 admits a nontrivial twisted sum with
Y. We present a characterization of such spaces Y in terms of properties of the weak⁎ …

Publisher Summary This chapter discusses about compact spaces and the Banach spaces
of their continuous functions. Various compact (always Hausdorff and infinite) spaces K and …

We show that every nonempty compact and convex space M of probability Radon measures
either contains a measure which has 'small'local character in M or else M contains a …

We consider topological invariants on compact spaces related to the sizes of discrete
subspaces (spread), densities of subspaces, Lindelof degree of subspaces, irredundant …

We consider Radon measures μ and pairs (κ, λ) of cardinals such that among every κ many
positive measure sets there are λ many whose intersection is nonempty. Such families are …

In this work we investigate the c_0-extension property. This property generalizes Sobczyk's
theorem in the context of nonseparable Banach spaces. We prove that a sufficient condition …