On strong product integration

DOI10.1016/0022-1236(78)90091-5zbMath0404.34047OpenAlexW2082124290MaRDI QIDQ1256617

John D. Dollard, Charles N. Friedman

Publication date: 1978

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(78)90091-5

zbMATH Keywords

Banach SpaceDifferential Equations in Abstract SpacesProduct Integral

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) Vector-valued measures and integration (46G10) Linear differential equations in abstract spaces (34G10)

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Cites Work

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• Continuous products and nonlinear integral equations
• Integration of the equation of evolution in a Banach space
• Nonlinear Evolution Equations and Product Integration in Banach Spaces
• Nonlinear Evolution Equations and Product Stable Operators on Banach Spaces
• Multiplicative Riemann Integration in Normed Rings