The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Displaying similar documents to “Nonaccessible filters in measure algebras and functionals on L ∞ ( λ ) * ”

Radon Measures on Banach Spaces with their Weak Topologies

Jayne, J., Rogers, C. (1995)

Serdica Mathematical Journal

Similarity:

The main concern of this paper is to present some improvements to results on the existence or non-existence of countably additive Borel measures that are not Radon measures on Banach spaces taken with their weak topologies, on the standard axioms (ZFC) of set-theory. However, to put the results in perspective we shall need to say something about consistency results concerning measurable cardinals.

On sequential properties of Banach spaces, spaces of measures and densities

Piotr Borodulin-Nadzieja, Grzegorz Plebanek (2010)

Czechoslovak Mathematical Journal

Similarity:

We show that a conjunction of Mazur and Gelfand-Phillips properties of a Banach space E can be naturally expressed in terms of * continuity of seminorms on the unit ball of E * . We attempt to carry out a construction of a Banach space of the form C ( K ) which has the Mazur property but does not have the Gelfand-Phillips property. For this purpose we analyze the compact spaces on which all regular measures lie in the * sequential closure of atomic measures, and the set-theoretic properties of...