Invariant Subspaces

Nonfiction, Science & Nature, Mathematics
Cover of the book Invariant Subspaces by Peter Rosenthal, Heydar Radjavi, Dover Publications
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Author: Peter Rosenthal, Heydar Radjavi ISBN: 9780486153025
Publisher: Dover Publications Publication: November 30, 2011
Imprint: Dover Publications Language: English
Author: Peter Rosenthal, Heydar Radjavi
ISBN: 9780486153025
Publisher: Dover Publications
Publication: November 30, 2011
Imprint: Dover Publications
Language: English

This broad survey spans a wealth of studies on invariant subspaces, focusing on operators on separable Hilbert space. Largely self-contained, it requires only a working knowledge of measure theory, complex analysis, and elementary functional analysis. Subjects include normal operators, analytic functions of operators, shift operators, examples of invariant subspace lattices, compact operators, and the existence of invariant and hyperinvariant subspaces. Additional chapters cover certain results on von Neumann algebras, transitive operator algebras, algebras associated with invariant subspaces, and a selection of unsolved problems. 1973 edition. New appendix on recent developments.

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This broad survey spans a wealth of studies on invariant subspaces, focusing on operators on separable Hilbert space. Largely self-contained, it requires only a working knowledge of measure theory, complex analysis, and elementary functional analysis. Subjects include normal operators, analytic functions of operators, shift operators, examples of invariant subspace lattices, compact operators, and the existence of invariant and hyperinvariant subspaces. Additional chapters cover certain results on von Neumann algebras, transitive operator algebras, algebras associated with invariant subspaces, and a selection of unsolved problems. 1973 edition. New appendix on recent developments.

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