On a unifying approach to decomposition theorems of Yosida-Hewitt type

DOI10.1007/BF01783464zbMath0939.28010OpenAlexW2062266682MaRDI QIDQ1817920

Achille Basile, A. V. Bukhvalov

Publication date: 4 January 2000

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01783464

zbMATH Keywords

linear operatorsvector latticesvector-valued measuresHewitt-Yosida decompositionvector-lattice-normed spaces

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Vector-valued set functions, measures and integrals (28B05) Linear operators on ordered spaces (47B60) Vector-valued measures and integration (46G10)

Related Items (4)

Yosida-Hewitt type decompositions for weakly compact operators and operator-valued measures ⋮ Linear operators on the space of bounded continuous functions with strict topologies ⋮ Decompositions for weakly compact operators on the space of totally measurable functions ⋮ Filter convergence and decompositions for vector lattice-valued measures

Cites Work

• Order-continuous component of a majorized operator
• Topological Boolean rings. Decomposition of finitely additive set functions
• Monotonely Cauchy locally-solid topologies
• The Lebesgue decomposition for functionals on the vector-function space \(L^\infty_x\)
• o-Weakly Compact Mappings of Riesz Spaces
• The Lebesgue Decomposition for Group-Valued Set Functions
• The generalized Yosida–Hewitt theorem
• A General Hewitt-Yosida Decomposition
• Finitely Additive Measures
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