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Finitely Additive Measures and Relaxations of Extremal Problems
Language: en
Pages: 261
Authors: A.G. Chentsov
Categories: Language Arts & Disciplines
Type: BOOK - Published: 1996-09-30 - Publisher: Springer Science & Business Media

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This monograph constructs correct extensions of extremal problems, including problems of multicriteria optimization as well as more general cone optimization pr
The Dual of L∞(X,L,λ), Finitely Additive Measures and Weak Convergence
Language: en
Pages: 104
Authors: John Toland
Categories: Mathematics
Type: BOOK - Published: 2020-01-03 - Publisher: Springer Nature

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In measure theory, a familiar representation theorem due to F. Riesz identifies the dual space Lp(X,L,λ)* with Lq(X,L,λ), where 1/p+1/q=1, as long as 1 ≤ p�
Asymptotic Attainability
Language: en
Pages: 336
Authors: A.G. Chentsov
Categories: Mathematics
Type: BOOK - Published: 2013-03-09 - Publisher: Springer Science & Business Media

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In this monograph, questions of extensions and relaxations are consid ered. These questions arise in many applied problems in connection with the operation of p
Extensions and Relaxations
Language: en
Pages: 420
Authors: A.G. Chentsov
Categories: Mathematics
Type: BOOK - Published: 2013-03-14 - Publisher: Springer Science & Business Media

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In this book a general topological construction of extension is proposed for problems of attainability in topological spaces under perturbation of a system of c
Measure Theory
Language: en
Pages: 1075
Authors: Vladimir I. Bogachev
Categories: Mathematics
Type: BOOK - Published: 2007-01-15 - Publisher: Springer Science & Business Media

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This book giving an exposition of the foundations of modern measure theory offers three levels of presentation: a standard university graduate course, an advanc