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Traces and Determinants of Linear Operators: 116 (Operator Theory: Advances and Applications) - Softcover

 
9783034895514: Traces and Determinants of Linear Operators: 116 (Operator Theory: Advances and Applications)

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This book is dedicated to a theory of traces and determinants on embedded algebras of linear operators, where the trace and determinant are extended from finite rank operators by a limit process. The self-contained material should appeal to a wide group of mathematicians and engineers, and is suitable for teaching.

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This book is dedicated to a theory of traces and determinants on embedded algebras of linear operators, where the trace and determinant are extended from finite rank operators by a limit process. The self-contained material should appeal to a wide group of mathematicians and engineers, and is suitable for teaching.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

  • VerlagBirkhäuser
  • Erscheinungsdatum2012
  • ISBN 10 3034895518
  • ISBN 13 9783034895514
  • EinbandTapa blanda
  • SpracheEnglisch
  • Anzahl der Seiten272
  • Kontakt zum HerstellerNicht verfügbar

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9783764361778: Traces and Determinants of Linear Operators: v. 116 (Operator Theory: Advances and Applications)

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ISBN 10:  3764361778 ISBN 13:  9783764361778
Verlag: Birkhäuser, 2007
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Israel Gohberg
Verlag: Birkhäuser Basel, 2012
ISBN 10: 3034895518 ISBN 13: 9783034895514
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - The authors initially planned to write an article describing the origins and devel opments of the theory of Fredholm operators and to present their recollections of this topic. We started to read again classical papers and we were sidetracked by the literature concerned with the theory and applications of traces and determi nants of infinite matrices and integral operators. We were especially impressed by the papers of Poincare, von Koch, Fredholm, Hilbert and Carleman, as well as F. Riesz's book on infinite systems of linear equations. Consequently our plans were changed and we decided to write a paper on the history of determinants of infi nite matrices and operators. During the preparation of our paper we realized that many mathematical questions had to be answered in order to gain a more com plete understanding of the subject. So, we changed our plans again and decided to present the subject in a more advanced form which would satisfy our new require ments. This whole process took between four and five years of challenging, but enjoyable work. This entailed the study of the appropriate relatively recent results of Grothendieck, Ruston, Pietsch, Hermann Konig and others. After the papers [GGK1] and [GGK2] were published, we saw that the written material could serve as the basis of a book. Artikel-Nr. 9783034895514

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Israel Gohberg
ISBN 10: 3034895518 ISBN 13: 9783034895514
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Taschenbuch. Zustand: Neu. Neuware -The authors initially planned to write an article describing the origins and devel opments of the theory of Fredholm operators and to present their recollections of this topic. We started to read again classical papers and we were sidetracked by the literature concerned with the theory and applications of traces and determi nants of infinite matrices and integral operators. We were especially impressed by the papers of Poincare, von Koch, Fredholm, Hilbert and Carleman, as well as F. Riesz's book on infinite systems of linear equations. Consequently our plans were changed and we decided to write a paper on the history of determinants of infi nite matrices and operators. During the preparation of our paper we realized that many mathematical questions had to be answered in order to gain a more com plete understanding of the subject. So, we changed our plans again and decided to present the subject in a more advanced form which would satisfy our new require ments. This whole process took between four and five years of challenging, but enjoyable work. This entailed the study of the appropriate relatively recent results of Grothendieck, Ruston, Pietsch, Hermann Konig and others. After the papers [GGK1] and [GGK2] were published, we saw that the written material could serve as the basis of a book.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 272 pp. Englisch. Artikel-Nr. 9783034895514

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Gohberg, Israel; Goldberg, Seymour; Krupnik, Nahum
Verlag: Birkhäuser, 2012
ISBN 10: 3034895518 ISBN 13: 9783034895514
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