Ten years in Hilbert space

DOI10.1007/BF01691076zbMath0429.47001OpenAlexW2027498792MaRDI QIDQ1137767

Paul R. Halmos

Publication date: 1979

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01691076

zbMATH Keywords

invariant subspacesLomonosov's theoremoperator theory in Hilbert spacequasi-triangular operators

Mathematics Subject Classification ID

Subnormal operators, hyponormal operators, etc. (47B20) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Invariant subspaces of linear operators (47A15) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Structure theory of linear operators (47A65) Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators (47A66)

Related Items (14)

A Subnormal Toeplitz Completion Problem ⋮ Five Hilbert space problems in operator algebras ⋮ Recent developments in the interplay between function theory and operator theory for block Toeplitz, Hankel, and model operators ⋮ Hyponormality and subnormality of block Toeplitz operators ⋮ Subnormal and quasinormal Toeplitz operators with matrix-valued rational symbols ⋮ The Beurling-Lax-Halmos theorem for infinite multiplicity ⋮ The invariant subspace problem ⋮ A new criterion for $k$-hyponormality via weak subnormality ⋮ Which subnormal Toeplitz operators are either normal or analytic? ⋮ Hyponormality of trigonometric Toeplitz operators ⋮ Matrix Functions of Bounded Type: An Interplay Between Function Theory and Operator Theory ⋮ Subnormal Toeplitz operators and the kernels of their self-commutators ⋮ Hyponormality of Toeplitz Operators ⋮ Subnormality and 2-hyponormality for Toeplitz operators.

Cites Work

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