The Gould integral in Banach lattices

DOI10.1007/s11117-014-0283-7zbMath1312.28002OpenAlexW2039636659MaRDI QIDQ2342962

Anca Croitoru, Alina Iosif, Alina Cristiana Gavriluţ

Publication date: 30 April 2015

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-014-0283-7

zbMATH Keywords

submeasureGould integralAL-space valued set functionBanach lattice-valued set functiontotally measurable function

Mathematics Subject Classification ID

Real- or complex-valued set functions (28A10) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Integration with respect to measures and other set functions (28A25)

Related Items (8)

Atomicity related to non-additive integrability ⋮ Henstock multivalued integrability in Banach lattices with respect to pointwise non atomic measures ⋮ Convergence results in Birkhoff weak integrability ⋮ A Gould-type integral of fuzzy functions. II ⋮ Multivalued Functions Integration: from Additive to Arbitrary Non-negative Set Function ⋮ INTEGRABILITY OF AN INTERVAL-VALUED MULTIFUNCTION WITH RESPECT TO AN INTERVAL-VALUED SET MULTIFUNCTION ⋮ Properties of the Riemann-Lebesgue integrability in the non-additive case ⋮ Comparison between Birkhoff integral and Gould integral

Cites Work

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• On vector-valued Dobrakov submeasures
• Maurey-Rosenthal domination for abstract Banach lattices
• Measure and integration: The basic extension theorems
• Nonstandard integration theory in topological vector lattices
• Some inequalities in classical spaces with mixed norms
• A fuzzy Gould type integral
• Spaces of \(p\)-integrable functions with respect to a vector measure
• The Radon--Nikodym property for tensor products of Banach lattices
• The general gould type integral with respect to a multisubmeasure
• On minimal residuated bounded mappings in atomistic lattices
• Integration Over Vector-Valued Measures

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