On complex Radon measures. II
A Borel extension approach to weakly compact operators on
Let be a quasicomplete locally convex Hausdorff space. Let be a locally compact Hausdorff space and let , is continuous and vanishes at infinity be endowed with the supremum norm. Starting with the Borel extension theorem for -valued -additive Baire measures on , an alternative proof is given to obtain all the characterizations given in [13] for a continuous linear map to be weakly compact.
On complex Radon measures. I
On Kelley's multiplicity function of an abelian von Neumann algebra
Weak compactness of unconditionally convergent operators on
Abstract regularity of additive and -additive group-valued set functions
A simple proof of the Borel extension theorem and weak compactness of operators
Let be a locally compact Hausdorff space and let be the Banach space of all complex valued continuous functions vanishing at infinity in , provided with the supremum norm. Let be a quasicomplete locally convex Hausdorff space. A simple proof of the theorem on regular Borel extension of -valued -additive Baire measures on is given, which is more natural and direct than the existing ones. Using this result the integral representation and weak compactness of a continuous linear map when...
On vector lattice-valued measures. I.
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