On integrable functions in complete bornological locally convex spaces

DOI10.1007/s00009-011-0114-zzbMath1246.46043OpenAlexW2109514053MaRDI QIDQ414397

Ján Haluška, Ondrej Hutník

Publication date: 11 May 2012

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-011-0114-z

zbMATH Keywords

locally convex spacesintegrable functionsbornological spacesinductive limit of Banach spaces

Mathematics Subject Classification ID

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

Related Items (1)

Comparison between Birkhoff integral and Gould integral

Cites Work

• On domination and bornological product measures
• The Fubini theorem for bornological product measures
• Product vector measures via Bartle integrals
• The general Fubini theorem in complete bornological locally convex spaces
• On vector integral inequalities
• Weak integral convergence theorems and operator measures
• Geometry and integration for operator valued measures
• Integral representation of dominated operations on spaces of continuous vector fields
• A general bilinear vector integral
• Integration of vector-valued functions with respect to an operator-valued measure
• On integration in complete bornological locally convex spaces
• A generalized Pettis measurability criterion and integration of vector functions
• On integration in Banach spaces, I
• On integration in Banach spaces, II
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