Topological Vector Spaces - neues Buch
ISBN: 9781461214687
The present book is intended to be a systematic text on topological vector spaces and presupposes familiarity with the elements of general topology and linear algebra.The author has found… Mehr…
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Topological Vector Spaces - neues Buch
2012, ISBN: 9781461214687
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ISBN: 9781461214687
The present book is intended to be a systematic text on topological vector spaces and presupposes familiarity with the elements of general topology and linear algebra. The author has foun… Mehr…
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ISBN: 9781461214687
*Topological Vector Spaces* - 1st ed. 1967. Corr. 3rd printing 2nd Edition. 1999 / pdf eBook für 74.99 € / Aus dem Bereich: eBooks, Fachthemen & Wissenschaft, Mathematik Medien > Bücher, … Mehr…
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ISBN: 9781461214687
Topological Vector Spaces - 1st ed. 1967. Corr. 3rd printing 2nd Edition. 1999: ab 74.99 € eBooks > Fachthemen & Wissenschaft > Mathematik, Springer New York
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Topological Vector Spaces - neues Buch
ISBN: 9781461214687
The present book is intended to be a systematic text on topological vector spaces and presupposes familiarity with the elements of general topology and linear algebra.The author has found… Mehr…
H.H. Schaefer:
Topological Vector Spaces - neues Buch2012, ISBN: 9781461214687
eBooks, eBook Download (PDF), The present book is intended to be a systematic text on topological vector spaces and presupposes familiarity with the elements of general topology and linea… Mehr…
ISBN: 9781461214687
The present book is intended to be a systematic text on topological vector spaces and presupposes familiarity with the elements of general topology and linear algebra. The author has foun… Mehr…
ISBN: 9781461214687
*Topological Vector Spaces* - 1st ed. 1967. Corr. 3rd printing 2nd Edition. 1999 / pdf eBook für 74.99 € / Aus dem Bereich: eBooks, Fachthemen & Wissenschaft, Mathematik Medien > Bücher, … Mehr…
ISBN: 9781461214687
Topological Vector Spaces - 1st ed. 1967. Corr. 3rd printing 2nd Edition. 1999: ab 74.99 € eBooks > Fachthemen & Wissenschaft > Mathematik, Springer New York
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Detailangaben zum Buch - Topological Vector Spaces
EAN (ISBN-13): 9781461214687
Erscheinungsjahr: 2012
Herausgeber: Springer New York
Buch in der Datenbank seit 2016-05-29T13:41:01+02:00 (Berlin)
Detailseite zuletzt geändert am 2024-05-04T00:19:58+02:00 (Berlin)
ISBN/EAN: 9781461214687
ISBN - alternative Schreibweisen:
978-1-4612-1468-7
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: schaefer, edward
Titel des Buches: topological vector spaces
Daten vom Verlag:
Autor/in: H.H. Schaefer
Titel: Graduate Texts in Mathematics; Topological Vector Spaces
Verlag: Springer; Springer US
349 Seiten
Erscheinungsjahr: 2012-12-06
New York; NY; US
Sprache: Englisch
77,00 € (DE)
EA; E107; eBook; Nonbooks, PBS / Mathematik/Analysis; Mathematische Analysis, allgemein; Verstehen; C*-algebra; Compact space; approximation property; compactness; metrizable; B; Analysis; Mathematics and Statistics; BC
Prerequisites.- A. Sets and Order.- B. General Topology.- C. Linear Algebra.- I. Topological Vector Spaces.- 1 Vector Space Topologies.- 2 Product Spaces, Subspaces, Direct Sums, Quotient Spaces.- 3 Topological Vector Spaces of Finite Dimension.- 4 Linear Manifolds and Hyperplanes.- 5 Bounded Sets.- 6 Metrizability.- 7 Complexification.- Exercises.- II. Locally Convex Topological Vector Spaces.- 1 Convex Sets and Semi-Norms.- 2 Normed and Normable Spaces.- 3 The Hahn-Banach Theorem.- 4 Locally Convex Spaces.- 5 Projective Topologies.- 6 Inductive Topologies.- 7 Barreled Spaces.- 8 Bornological Spaces.- 9 Separation of Convex Sets.- 10 Compact Convex Sets.- Exercises.- III. Linear Mappings.- 1 Continuous Linear Maps and Topological Homomorphisms.- 2 Banach’s Homomorphism Theorem.- 3 Spaces of Linear Mappings.- 4 Equicontinuity. The Principle of Uniform Boundedness and the Banach-Steinhaus Theorem.- 5 Bilinear Mappings.- 6 Topological Tensor Products.- 7 Nuclear Mappings and Spaces.- 8 Examples of Nuclear Spaces.- 9 The Approximation Property. Compact Maps.- Exercises.- IV. Duality.- 1 Dual Systems and Weak Topologies.- 2 Elementary Properties of Adjoint Maps.- 3 Locally Convex Topologies Consistent with a Given Duality.The Mackey-Arens Theorem.- 4 Duality of Projective and Inductive Topologies.- 5 Strong Dual of a Locally Convex Space. Bidual. Reflexive Spaces.- 6 Dual Characterization of Completeness. Metrizable Spaces. Theorems of Grothendieck, Banach-Dieudonné, and Krein-Šmulian.- 7 Adjoints of Closed Linear Mappings.- 8 The General Open Mapping and Closed Graph Theorems.- 9 Tensor Products and Nuclear Spaces.- 10 Nuclear Spaces and Absolute Summability.- 11 Weak Compactness. Theorems of Eberlein and Krein.- Exercises.- V. Order Structures.- 1 Ordered VectorSpaces over the Real Field.- 2 Ordered Vector Spaces over the Complex Field.- 3 Duality of Convex Cones.- 4 Ordered Topological Vector Spaces.- 5 Positive Linear Forms and Mappings.- 6 The Order Topology.- 7 Topological Vector Lattices.- 8 Continuous Functions on a Compact Space. Theorems of Stone-Weierstrass and Kakutani.- Exercises.- VI. C*—and W*—Algebras.- 1 Preliminaries.- 2 C*-Algebras.The Gelfand Theorem.- 3 Order Structure of a C*-Algebra.- 4 Positive Linear Forms. Representations.- 5 Projections and Extreme Points.- 6 W*-Algebras.- 7 Von Neumann Algebras. Kaplansky’s Density Theorem.- 8 Projections and Types of W*-Algebras.- Exercises.- Appendix. Spectral Properties of Positive Operators.- 1 Elementary Properties of the Resolvent.- 2 Pringsheim’s Theorem and Its Consequences.- 3 The Peripheral Point Spectrum.- Index of Symbols.Weitere, andere Bücher, die diesem Buch sehr ähnlich sein könnten:
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