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Invariant Subspaces
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Description
Invariant SubspacesThis 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
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In dealing with such topics as number
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Advanced undergraduate and first-year graduate students have long regarded this text as one of the best available works on matrix theory in the context of modern algebra
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And while the majority of the problems represent questions in higher ("non-elementary") mathematics
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