Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4673017 | Indagationes Mathematicae | 2012 | 7 Pages |
Abstract
Let ΣΣ be a σσ-algebra of subsets of a non-empty set ΩΩ and let XX be a Banach space. Let B(Σ,X)B(Σ,X) denote the Banach space of totally ΣΣ-measurable XX-valued functions defined on ΩΩ. We derive a Yosida–Hewitt type decomposition for weakly compact operators from B(Σ,X)B(Σ,X) to a Banach space YY. As an application, we obtain a Yosida–Hewitt type decomposition for operator-valued measures.
Keywords
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Marian Nowak,