Radon-Nikodym derivatives of finitely additive interval measures taking values in a Banach space with basis

DOI10.1007/S10114-011-0614-6zbMath1334.28023OpenAlexW2004819820MaRDI QIDQ270242

Benedetto Bongiorno, Luisa Di Piazza, Kazimierz Musiał\

Publication date: 7 April 2016

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-011-0614-6

zbMATH Keywords

Pettis integralHenstock integralHenstock-Kurzweil integralHenstock-Kurzweil-Pettis integralvariational Henstock integral

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05) Vector-valued measures and integration (46G10) Denjoy and Perron integrals, other special integrals (26A39)

Related Items (1)

Henstock-Kurzweil-Pettis integrability of compact valued multifunctions with values in an arbitrary Banach space

Cites Work

• Convergence theorems for the Henstock-Kurzweil-Pettis integral
• On the Alexiewicz topology of the Denjoy space
• A new full descriptive characterization of Denjoy-Perron integral
• Kurzweil-Henstock type integration on Banach spaces
• A variational Henstock integral characterization of the Radon-Nikodým property
• Variational Measures in the Theory of the Integration in ℝ m
• Characterizations of Kurzweil–Henstock–Pettis integrable functions
• A CHARACTERIZATION OF THE WEAK RADON–NIKODÝM PROPERTY BY FINITELY ADDITIVE INTERVAL FUNCTIONS
• The Denjoy extension of the Bochner, Pettis, and Dunford integrals
• Linear functionals on Denjoy-integrable functions
• Weak continuity of Riemann integrable functions in Lebesgue-Bochner spaces
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