
Dominated Operators by A.G. Kusraev (English) Paperback Book
- nieuw boekISBN: 9789048155286
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The Nile on eBay Dominated Operators by A.G. Kusraev The notion of a dominated or rnajorized operator rests on a simple idea that goes as far back as the Cauchy method of majorants. If an operator (equation) under study is dominated by another operator (equation), called a dominant or majorant, then the properties of the latter have a substantial influence on the properties of the former . FORMATPaperback LANGUAGEEnglish CONDITIONBrand New Publisher Description This book presents the main results of the last fifteen years on dominated operators, demonstrating a well-developed theory with a wide range of applications. The exposition focuses on the fundamental properties of dominated operators with special emphasis on their particular classes: integral and pseudointegral operators, disjointness preserving and decomposable operators, summing and cyclically compact operators, etc. Audience: This volume will be of interest to postgraduate students and researchers whose work involves geometric functional analysis, operator theory, vector lattices, measure and integration theory, and mathematical logic and foundations. Notes Springer Book Archives Table of Contents 1. Boolean Algebras and Vector Lattices.- 2. Lattice-Normed Spaces.- 3. Positive Operators.- 4. Dominated Operators.- 5. Disjointness Preserving Operators.- 6. Integral Operators.- 7. Operators in Spaces with Mixed Norm.- 8. Applications of Boolean-Valued Analysis.- Appendix. Boolean-Valued Models.- References.- Symbol Index. Review "The layout of the book and its exposition are excellent. Two very detailed subjects and symbol indices help considerably to navigate through the text. The book should be in the personal library of any analyst and any scientist interested in order structures and monotone operators. We thank the author for his efforts in producing this fine monograph."(Mathematical Reviews 2002b) Promotional Springer Book Archives Long Description The notion of a dominated or rnajorized operator rests on a simple idea that goes as far back as the Cauchy method of majorants. Loosely speaking, the idea can be expressed as follows. If an operator (equation) under study is dominated by another operator (equation), called a dominant or majorant, then the properties of the latter have a substantial influence on the properties of the former . Thus, operators or equations that have "nice" dominants must possess "nice" properties. In other words, an operator with a somehow qualified dominant must be qualified itself. Mathematical tools, putting the idea of domination into a natural and complete form, were suggested by L. V. Kantorovich in 1935-36. He introduced the funda Review Quote "The layout of the book and its exposition are excellent. Two very detailed subjects and symbol indices help considerably to navigate through the text. The book should be in the personal library of any analyst and any scientist interested in order structures and monotone operators. We thank the author for his efforts in producing this fine monograph."(Mathematical Reviews 2002b) Details ISBN9048155282 Publisher Springer Year 2010 ISBN-10 9048155282 ISBN-13 9789048155286 Format Paperback Publication Date 2010-12-07 Imprint Springer Place of Publication Dordrecht Country of Publication Netherlands DEWEY 510 Edition 1st Short Title DOMINATED OPERATORS Language English Media Book Series Number 519 Series Mathematics and Its Applications Pages 446 Illustrations XIV, 446 p. DOI 10.1007/978-94-015-9349-6 Author A.G. Kusraev Alternative 9780792364856 Audience Professional & Vocational Edition Description 1st ed. Softcover of orig. ed. 2000 Country of Origin NL Product Class Description Mathematics We've got thisAt The Nile, if you're looking for it, we've got it.With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:96230276; , von Profianbieter, Neu, Festpreisangebot, [LT: FixedPrice], ISBN-13: 9789048155286, Book Title: Dominated Operators<
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Kusraev, A. G.:Dominated Operators
- pocketboek 2010, ISBN: 9789048155286
[ED: Softcover], [PU: Springer / Springer Netherlands], The notion of a dominated or rnajorized operator rests on a simple idea that goes as far back as the Cauchy method of majorants. Lo… Meer...
[ED: Softcover], [PU: Springer / Springer Netherlands], The notion of a dominated or rnajorized operator rests on a simple idea that goes as far back as the Cauchy method of majorants. Loosely speaking, the idea can be expressed as follows. If an operator (equation) under study is dominated by another operator (equation), called a dominant or majorant, then the properties of the latter have a substantial influence on the properties of the former . Thus, operators or equations that have "nice" dominants must possess "nice" properties. In other words, an operator with a somehow qualified dominant must be qualified itself. Mathematical tools, putting the idea of domination into a natural and complete form, were suggested by L. V. Kantorovich in 1935-36. He introduced the funda mental notion of a vector space normed by elements of a vector lattice and that of a linear operator between such spaces which is dominated by a positive linear or monotone sublinear operator. He also applied these notions to solving functional equations. In the succeedingyears many authors studied various particular cases of lattice normed spaces and different classes of dominated operators. However, research was performed within and in the spirit of the theory of vector and normed lattices. So, it is not an exaggeration to say that dominated operators, as independent objects of investigation, were beyond the reach of specialists for half a century. As a consequence, the most important structural properties and some interesting applications of dominated operators have become available since recently.
2010. xiv, 446 S. XIV, 446 p. 235 mm
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Dominated Operators A.G. Kusraev Author
- nieuw boekISBN: 9789048155286
The notion of a dominated or rnajorized operator rests on a simple idea that goes as far back as the Cauchy method of majorants. Loosely speaking, the idea can be expressed as follows. If… Meer...
The notion of a dominated or rnajorized operator rests on a simple idea that goes as far back as the Cauchy method of majorants. Loosely speaking, the idea can be expressed as follows. If an operator (equation) under study is dominated by another operator (equation), called a dominant or majorant, then the properties of the latter have a substantial influence on the properties of the former . Thus, operators or equations that have nice dominants must possess nice properties. In other words, an operator with a somehow qualified dominant must be qualified itself. Mathematical tools, putting the idea of domination into a natural and complete form, were suggested by L. V. Kantorovich in 1935-36. He introduced the fundamental notion of a vector space normed by elements of a vector lattice and that of a linear operator between such spaces which is dominated by a positive linear or monotone sublinear operator. He also applied these notions to solving functional equations. In the succeedingyears many authors studied various particular cases of lattice normed spaces and different classes of dominated operators. However, research was performed within and in the spirit of the theory of vector and normed lattices. So, it is not an exaggeration to say that dominated operators, as independent objects of investigation, were beyond the reach of specialists for half a century. As a consequence, the most important structural properties and some interesting applications of dominated operators have become available since recently. Trade Books>Trade Paperback>Science>Mathematics>Mathematics, Springer Netherlands Core >1<
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A.G. Kusraev:Dominated Operators
- pocketboek 2010, ISBN: 9048155282
[EAN: 9789048155286], Neubuch, [PU: Springer Netherlands], FUNCTIONAL FUNCTIONALANALYSIS INTEGRATIONTHEORY MATHEMATICALLOGIC VECTORLATTICE MATHEMATIK ANALYSIS INTEGRATION THEORY MATHEMATI… Meer...
[EAN: 9789048155286], Neubuch, [PU: Springer Netherlands], FUNCTIONAL FUNCTIONALANALYSIS INTEGRATIONTHEORY MATHEMATICALLOGIC VECTORLATTICE MATHEMATIK ANALYSIS INTEGRATION THEORY MATHEMATICAL LOGIC VECTOR LATTICE FUNKTIONALANALYSIS UND ABWANDLUNGEN, Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The notion of a dominated or rnajorized operator rests on a simple idea that goes as far back as the Cauchy method of majorants. Loosely speaking, the idea can be expressed as follows. If an operator (equation) under study is dominated by another operator (., Books<
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Kusraev, A.G.:Dominated Operators (Mathematics and Its Applications (closed)) (Mathematics and Its Applications, 519, Band 519)
- pocketboek 2010, ISBN: 9789048155286
Springer, Taschenbuch, Auflage: Softcover reprint of hardcover 1st ed. 2000, 464 Seiten, Publiziert: 2010-12-07T00:00:01Z, Produktgruppe: Buch, 1.43 kg, Geometrie, Naturwissenschaft & Mat… Meer...
Springer, Taschenbuch, Auflage: Softcover reprint of hardcover 1st ed. 2000, 464 Seiten, Publiziert: 2010-12-07T00:00:01Z, Produktgruppe: Buch, 1.43 kg, Geometrie, Naturwissenschaft & Mathematik, Fachbücher, Kategorien, Bücher, Naturwissenschaften & Technik, Springer, 2010<
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