A functional characterization of measures and the Banach-Ulam problem

DOI10.1016/j.jmaa.2010.06.020zbMath1237.28001OpenAlexW1966132965MaRDI QIDQ607317

Huihua Shi, Li Xing Cheng

Publication date: 22 November 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.06.020

zbMATH Keywords

linear functionalcountably additive real-valued measuremeasure spacesweak\({}^*\)-sequential continuity

Mathematics Subject Classification ID

Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Classical Banach spaces in the general theory (46B25) Spaces of measures, convergence of measures (28A33) Spaces of measures (46E27)

Related Items (3)

Statistical convergence and measure convergence generated by a single statistical measure ⋮ More about the kernel convergence and the ideal convergence ⋮ On statistical measure theory

Cites Work

• On real-valued measures of statistical type and their applications to statistical convergence
• Measure theory of statistical convergence
• Finitely Additive Measures
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