Triangular and Jordan representations of linear operators / By M. S. Brodskii ; [translated from the russian by J. M. Danskin]

Traduction de: Treugol’nye i žordanovy predstavlenija linejnyh operatorovAuteur principal : Brodskii, Mikhail Samoilovich, 1913-, AuteurAuteur secondaire : Danskin, John Moffatt, 1923-, TraducteurType de document : MonographieCollection : Translations of mathematical monographs, 32Langue : anglais ; de l'oeuvre originale, russe.Pays: Etats Unis.Éditeur : Providence (R.I.) : American Mathematical Society, 1971Description : 1 vol. (VIII- 246 p.) ; 24 cmISBN: 0821815822.ISSN: 0065-9282.Bibliographie : Bibliogr. p. 239-246.Sujet MSC : 47-01, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to operator theory
47A15, Operator theory - General theory of linear operators, Invariant subspaces of linear operators
47A67, Operator theory - General theory of linear operators, Representation theory of linear operators
47A68, Operator theory - General theory of linear operators, Factorization theoryEn-ligne : MathScinet | AMS
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Bibliogr. p. 239-246

Determining the invariant subspaces of any given transformation and writing the transformation as an integral in terms of invariant subspaces is a fundamental problem. This book presents the foundations of the theory of triangular and Jordan representations of bounded linear operators in Hilbert space and solves the problem in the case of completely continuous transformations. The reader is assumed to know the basics of linear operator theory. (Source : AMS)

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