A characterization of strongly measurable Kurzweil-Henstock integrable functions and weakly continuous operators

DOI10.1016/j.jmaa.2007.09.033zbMath1141.46021OpenAlexW1964287050MaRDI QIDQ2470509

Valeria Marraffa

Publication date: 14 February 2008

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.2007.09.033

zbMATH Keywords

Kurzweil-Henstock integralintegration of vector-valued functions

Mathematics Subject Classification ID

Vector-valued measures and integration (46G10) Denjoy and Perron integrals, other special integrals (26A39)

Related Items

Completely continuous operators and the strict topology ⋮ The Radon Nikodym property and multipliers of \(\mathcal{HK}\)-integrable functions ⋮ Strongly measurable functions and multipliers of \(\mathcal{M}\)-integrable functions

Cites Work

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• Absolutely summing operators and integration of vector-valued functions
• An iterated limits theorem applied to the Henstock integral
• Kurzweil-Henstock type integration on Banach spaces
• A characterization of absolutely summing operators by means of McShane integrable functions
• An elementary characterization of absolutely summing operators
• Gauge integrals and series
• Characterizations of Kurzweil–Henstock–Pettis integrable functions
• Kurzweil-Henstock and Kurzweil-Henstock-Pettis integrability of strongly measurable functions
• Sur Les Applications Lineaires Faiblement Compactes D'Espaces Du Type C(K)

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