The variational McShane integral in locally convex spaces

DOI10.1216/RMJ-2009-39-6-1993zbMath1187.28019MaRDI QIDQ1047551

Valeria Marraffa

Publication date: 5 January 2010

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Pettis integralMcShane integrallocally convex spacesvariational McShane integral

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05) Vector-valued measures and integration (46G10)

Related Items (5)

Anti-compacts and their applications to analogs of Lyapunov and Lebesgue theorems in Fréchet spaces ⋮ Multipliers of variationally McShane integrable functions in locally convex space ⋮ Some remarks on descriptive characterizations of the strong McShane integral ⋮ Relations among gauge and Pettis integrals for \(cwk(X)\)-valued multifunctions ⋮ Integration of multifunctions with closed convex values in arbitrary Banach spaces

Cites Work

• The generalized McShane integral
• A Birkhoff type integral and the Bourgain property in a locally convex space
• Non absolutely convergent integrals of functions taking values in a locally convex space
• Riemann type integrals for functions taking values in a locally convex space
• Integration of Functions With Values in Locally Convex Suslin Spaces
• Some Applications of an Inequality in Locally Convex Spaces
• A characterization of variationally McShane integrable Banach-space valued functions
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