Spaces of vector functions that are integrable with respect to vector measures

DOI10.1017/S1446788700017481zbMath1119.28008MaRDI QIDQ3435405

José Rodríguez

Publication date: 26 April 2007

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: http://www.austms.org.au/Publ/JAustMS/V82P1/contents.html

zbMATH Keywords

McShane integralbarrelled spaceDobrakov integralultrabornological spaceS*-integral

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Vector-valued set functions, measures and integrals (28B05) Vector-valued measures and integration (46G10) Barrelled spaces, bornological spaces (46A08)

Related Items (2)

Pointwise limits of Birkhoff integrable functions ⋮ On Birkhoff integrability for scalar functions and vector measures

Cites Work

• A decomposition theorem for additive set-functions with applications to Pettis integrals and ergodic means
• Natural ultrabornological, non-complete, normed function spaces
• The Henstock and McShane integrals of vector-valued functions
• The Birkhoff integral and the property of Bourgain
• A wide class of ultrabornological spaces of measurable functions
• The Bartle bilinear integration and Carleman operators
• On the existence of Pettis integrable functions which are not Birkhoff integrable
• On integration of vector functions with respect to vector measures
• Integration of Functions with Values in a Bananch Space
• On Integration in Vector Spaces

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