An Introduction to Models and Decompositions in Operator Theory
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The work An Introduction to Models and Decompositions in Operator Theory represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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An Introduction to Models and Decompositions in Operator Theory
Resource Information
The work An Introduction to Models and Decompositions in Operator Theory represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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 An Introduction to Models and Decompositions in Operator Theory
 Statement of responsibility
 by Carlos S. Kubrusly
 Language

 eng
 eng
 Summary
 By a Hilbertspace operator we mean a bounded linear transformation be tween separable complex Hilbert spaces. Decompositions and models for Hilbertspace operators have been very active research topics in operator theory over the past three decades. The main motivation behind them is the in variant subspace problem: does every Hilbertspace operator have a nontrivial invariant subspace? This is perhaps the most celebrated open question in op erator theory. Its relevance is easy to explain: normal operators have invariant subspaces (witness: the Spectral Theorem), as well as operators on finite dimensional Hilbert spaces (witness: canonical Jordan form). If one agrees that each of these (i. e. the Spectral Theorem and canonical Jordan form) is important enough an achievement to dismiss any further justification, then the search for nontrivial invariant subspaces is a natural one; and a recalcitrant one at that. Subnormal operators have nontrivial invariant subspaces (extending the normal branch), as well as compact operators (extending the finitedimensional branch), but the question remains unanswered even for equally simple (i. e. simple to define) particular classes of Hilbertspace operators (examples: hyponormal and quasinilpotent operators). Yet the invariant subspace quest has certainly not been a failure at all, even though far from being settled. The search for nontrivial invariant subspaces has undoubtly yielded a lot of nice results in operator theory, among them, those concerning decompositions and models for Hilbertspace operators. This book contains nine chapters
 Dewey number
 515.724
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 Fi_x2wvVepM
 Image bit depth
 0
 Language note
 English
 LC call number
 QA329329.9
 Literary form
 non fiction
 Nature of contents
 dictionaries
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