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Synopsis: 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!? , Brodskii , and Gohberg-Krein , ), 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.
Title: Invariant Subspaces (Ergebnisse der ...
Publication Date: 1973
Book Condition: Used: Good
Book Description Springer, 1973. Book Condition: Good. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. Bookseller Inventory # 3649222
Book Description Springer-Verlag, 1973. Book Condition: Fair. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. With usual stamps and markings, In fair condition, suitable as a study copy. No dust jacket. , 900grams, ISBN:3540062173. Bookseller Inventory # 6048364
Book Description Berlin & New York, Springer Verlag, 1973. 1st. Edn. pp. xi, 219. Lettering to spine rather dulled, else a very good copy. No wrapper. Bookseller Inventory # 3789
Book Description Springer, 1973. Book Condition: Good. Volume 77. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. No dust jacket. Bookseller Inventory # 5393603