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Invariant Subspaces - Peter Rosenthal
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Invariant Subspaces - Paperback

2011, ISBN: 3642655769

[EAN: 9783642655760], Neubuch, [SC: 0.0], [PU: Springer Berlin Heidelberg], EXCEL; HILBERTSPACE; INVARIANTERUNTERRAUM; ADDITION; CHARACTER; ANALYTICFUNCTION; BANACHSPACES; BOUNDARYELEMENT… More...

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Invariant Subspaces
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Invariant Subspaces - new book

ISBN: 9783642655760

In recent years there has been a large amount of work on invariant subspaces, motivated by interest in the structure of non-self-adjoint of the results have been obtained in operators on … More...

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Invariant Subspaces - Rosenthal, Peter; Radjavi, Heydar
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Rosenthal, Peter; Radjavi, Heydar:
Invariant Subspaces - Paperback

2011

ISBN: 3642655769

Softcover reprint of the original 1st ed. 1973 Kartoniert / Broschiert Excel; Hilbert space; Invarianter Unterraum; Addition; analytic function; Banach spaces; Boundary Element Method; … More...

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Invariant Subspaces - Rosenthal, Peter; Radjavi, Heydar
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Rosenthal, Peter; Radjavi, Heydar:
Invariant Subspaces - Paperback

2011, ISBN: 3642655769

Softcover reprint of the original 1st ed. 1973 Kartoniert / Broschiert Excel; Hilbertspace; InvarianterUnterraum; Addition; character; analyticfunction; banachspaces; boundaryelementmet… More...

Shipping costs:Versandkostenfrei innerhalb der BRD. (EUR 0.00) MARZIES.de Buch- und Medienhandel, 14621 Schönwalde-Glien
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Heydar Radjavi:
Invariant Subspaces - Paperback

2011, ISBN: 3642655769

[EAN: 9783642655760], Neubuch, [PU: Springer], PRINT ON DEMAND Book; New; Fast Shipping from the UK., Books

NEW BOOK. Shipping costs: EUR 1.74 Ria Christie Collections, Uxbridge, United Kingdom [59718070] [Rating: 5 (von 5)]

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Details of the book
Invariant Subspaces

In recent years there has been a large amount of work on invariant subspaces, motivated by interest in the structure of non-self-adjoint of the results have been obtained in operators on Hilbert space. Some the context of certain general studies: the theory of the characteristic operator function, initiated by Livsic; the study of triangular models by Brodskii and co-workers; and the unitary dilation theory of Sz.­ Nagy and Foia!? Other theorems have proofs and interest independent of any particular structure theory. Since the leading workers in each of the structure theories have written excellent expositions of their work, (cf. Sz.-Nagy-Foia!? [1], Brodskii [1], and Gohberg-Krein [1], [2]), in this book we have concentrated on results independent of these theories. We hope that we have given a reasonably complete survey of such results and suggest that readers consult the above references for additional information. The table of contents indicates the material covered. We have restricted ourselves to operators on separable Hilbert space, in spite of the fact that most of the theorems are valid in all Hilbert spaces and many hold in Banach spaces as well. We felt that this restriction was sensible since it eases the exposition and since the separable-Hilbert­ space case of each of the theorems is generally the most interesting and potentially the most useful case.

Details of the book - Invariant Subspaces


EAN (ISBN-13): 9783642655760
ISBN (ISBN-10): 3642655769
Hardcover
Paperback
Publishing year: 2013
Publisher: Springer Berlin

Book in our database since 2013-02-14T05:12:31-05:00 (New York)
Detail page last modified on 2024-02-29T05:01:04-05:00 (New York)
ISBN/EAN: 9783642655760

ISBN - alternate spelling:
3-642-65576-9, 978-3-642-65576-0
Alternate spelling and related search-keywords:
Book author: rosenthal, rose peter, heyd, rosentha, peter rosen
Book title: invariant subspaces, rosenthal, mathematik


Information from Publisher

Author: Heydar Radjavi; Peter Rosenthal
Title: Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge; Invariant Subspaces
Publisher: Springer; Springer Berlin
222 Pages
Publishing year: 2011-11-11
Berlin; Heidelberg; DE
Printed / Made in
Language: English
96,29 € (DE)
98,99 € (AT)
106,50 CHF (CH)
POD
XII, 222 p.

BC; Hardcover, Softcover / Mathematik/Analysis; Mathematische Analysis, allgemein; Verstehen; Excel; Hilbert space; Invarianter Unterraum; addition; analytic function; banach spaces; boundary element method; character; form; information; operator; operator algebra; perturbation; perturbation theory; theorem; Analysis; BB

0. Introduction and Preliminaries.- 0.1 Hilbert Space.- 0.2 Invariant Subspaces.- 0.3 Spectra of Operators.- 0.4 Linear Operator Equations.- 0.5 Additional Propositions.- 0.6 Notes and Remarks.- 1. Normal Operators.- 1.1 Preliminaries.- 1.2 Compact Normal Operators.- 1.3 Spectral Theorem—First Form.- 1.4 Spectral Theorem—Second Form.- 1.5 Fuglede’s Theorem.- 1.6 The Algebra ??.- 1.7 The Functional Calculus.- 1.8 Completely Normal Operators.- 1.9 Additional Propositions.- 1.10 Notes and Remarks.- 2. Analytic Functions of Operators.- 2.1 The Functional Calculus.- 2.2 The Riesz Decomposition Theorem.- 2.3 Invariant Subspaces of Analytic Functions of Operators.- 2.4 Additional Propositions.- 2.5 Notes and Remarks.- 3. Shift Operators.- 3.1 Shifts of Multiplicity 1.- 3.2 Invariant Subspaces of Shifts of Multiplicity 1.- 3.3 Shifts of Arbitrary Multiplicity.- 3.4 Invariant Subspaces of Shifts.- 3.5 Parts of Shifts.- 3.6 Additional Propositions.- 3.7 Notes and Remarks.- 4. Examples of Invariant Subspace Lattices.- 4.1 Preliminaries.- 4.2 Algebraic Operators.- 4.3 Lattices of Normal Operators.- 4.4 Two Unicellular Operators.- 4.5 Direct Products of Attainable Lattices.- 4.6 Attainable Ordinal Sums.- 4.7 Transitive Lattices.- 4.8 Additional Propositions.- 4.9 Notes and Remarks.- 5. Compact Operators.- 5.1 Existence of Invariant Subspaces.- 5.2 Normality and Lat A.- 5.3 Spectrum and Lat A.- 5.4 Lattices of Compact Operators.- 5.5 Additional Propositions.- 5.6 Notes and Remarks.- 6. Existence of Invariant and Hyperinvariant Subspaces.- 6.1 Operators on Other Spaces.- 6.2 Perturbations of Normal Operators.- 6.3 Quasi-similarity and Invariant Subspaces.- 6.4 Hyperinvariant Subspaces.- 6.5 Additional Propositions.- 6.6 Notes and Remarks.- 7. Certain Results on von NeumannAlgebras.- 7.1 Preliminaries.- 7.2 Commutants.- 7.3 The Algebra ? (?).- 7.4 Abelian von Neumann Algebras.- 7.5 The Class of n-normal Operators.- 7.6 Additional Propositions.- 7.7 Notes and Remarks.- 8. Transitive Operator Algebras.- 8.1 Strictly Transitive Algebras.- 8.2 Partial Solutions of the Transitive Algebra Problem.- 8.3 Generators of ? (?).- 8.4 Additional Propositions.- 8.5 Notes and Remarks.- 9. Algebras Associated with Invariant Subspaces.- 9.1 Reductive Algebras.- 9.2 Reflexive Operator Algebras.- 9.3 Triangular Operator Algebras.- 9.4 Additional Propositions.- 9.5 Notes and Remarks.- 10. Some Unsolved Problems.- 10.1 Normal Operators.- 10.2 Attainable Lattices.- 10.3 Existence of Invariant Subspaces.- 10.4 Reducing Subspaces and von Neumann Algebras.- 10.5 Transitive and Reductive Algebras.- 10.6 Reflexive Algebras.- 10.7 Triangular Algebras.- References.- List of Symbols.- Author Index.

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