Product of vector measures on topological spaces

Surjit Singh Khurana

Displaying similar documents to “Product of vector measures on topological spaces”

Embedding $c_{0}$ in $bvca (Σ, X)$

Juan Carlos Ferrando, L. M. Sánchez Ruiz (2007)

Czechoslovak Mathematical Journal

Similarity:

If $(Ω, Σ)$ is a measurable space and $X$ a Banach space, we provide sufficient conditions on $Σ$ and $X$ in order to guarantee that $b v c a (Σ, X)$ , the Banach space of all $X$ -valued countably additive measures of bounded variation equipped with the variation norm, contains a copy of $c_{0}$ if and only if $X$ does.

On Pettis integrability

Juan Carlos Ferrando (2003)

Czechoslovak Mathematical Journal

Similarity:

Assuming that $(Ω, Σ, μ)$ is a complete probability space and $X$ a Banach space, in this paper we investigate the problem of the $X$ -inheritance of certain copies of $c_{0}$ or $ℓ_{\infty}$ in the linear space of all [classes of] $X$ -valued $μ$ -weakly measurable Pettis integrable functions equipped with the usual semivariation norm.

A simple proof of the Borel extension theorem and weak compactness of operators

Ivan Dobrakov, Thiruvaiyaru V. Panchapagesan (2002)

Czechoslovak Mathematical Journal

Similarity:

Let $T$ be a locally compact Hausdorff space and let $C_{0} (T)$ be the Banach space of all complex valued continuous functions vanishing at infinity in $T$ , provided with the supremum norm. Let $X$ be a quasicomplete locally convex Hausdorff space. A simple proof of the theorem on regular Borel extension of $X$ -valued $σ$ -additive Baire measures on $T$ 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...

Displaying similar documents to “Product of vector measures on topological spaces”

Embedding c 0 in bvca ( Σ , X )

On Pettis integrability

A simple proof of the Borel extension theorem and weak compactness of operators

Embedding $c_{0}$ in $bvca (Σ, X)$