Kurzweil and McShane product integration in Banach algebras

DOI10.1016/j.jmaa.2014.11.037zbMath1329.46041OpenAlexW2039917600MaRDI QIDQ482009

Antonín Slavík

Publication date: 19 December 2014

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.2014.11.037

zbMATH Keywords

unital Banach algebraBochner integralabstract linear differential equationgauge integralproduct integralstrong product integral

Mathematics Subject Classification ID

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

Related Items (5)

On the Henstock-Kurzweil integral for Riesz-space-valued functions on time scales ⋮ On summability, multipliability, product integrability, and parallel translation ⋮ On Summability, Multipliability, and Integrability ⋮ Differential and integral calculus adapted to substitutions by Volterra ⋮ Unnamed Item

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• A general form of the product integral and linear ordinary differential equations
• Bochner product integration
• The Perron product integral and generalized linear differential equations
• Multiplicative Riemann Integration in Normed Rings
• A characterization of variationally McShane integrable Banach-space valued functions

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