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Invariant Subspaces (Paperback, Softcover reprint of the original 1st ed. 1973)
Loot Price: R2,744
Discovery Miles 27 440
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Invariant Subspaces (Paperback, Softcover reprint of the original 1st ed. 1973)
Series: Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge, 77
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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.
General
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