Studies in linear operators and function theory. 99 Unsolved problems in linear and complex analysis. Chapter 4. Linear operators

DOI10.1007/BF01221507zbMath0543.47001MaRDI QIDQ796059

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Publication date: 1984

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

polynomial approximationToeplitz operatorfactorizationspectral decompositionsimilarity problemlocalizationshift operatorsTitchmarsh's theoremCarleson conditiondecomposition of Riesz operators. Problemholomorphic Hilbert space bundles over the Riemannian sphereoperator polynomials in Schatten-von Neumann classesoperator valued bounded analytic functionsuniform algebraic approximation

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Structure theory of linear operators (47A65) Proceedings, conferences, collections, etc. pertaining to operator theory (47-06) Approximation by other special function classes (41A30) Lists of open problems (00A27)

Cites Work

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• Amenability of crossed products of \(C^*\)-algebras
• Invariant Subspaces for Bishop's Operators
• The C ∗ -Algebra Generated by an Isometry. II
• Two Subspaces

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