A contribution to the structure theory of operators in the class \({\mathbb{A}}\)

DOI10.1016/0022-1236(88)90118-8zbMath0652.47005OpenAlexW2053809015MaRDI QIDQ1107074

Hari Bercovici

Publication date: 1988

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(88)90118-8

zbMATH Keywords

contractive homomorphisminvariant subspace problem for contractionsSz. Nagy-Foias functional calculus

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Invariant subspaces of linear operators (47A15) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (6)

Structure theory and reflexivity of contraction operators ⋮ Classification of multiple unilateral weighted shifts by \(\mathbb{A}_{\aleph_0}\) ⋮ On Polynomially Bounded Operators with Rich Spectrum ⋮ Notes on invariant subspaces ⋮ \(L^1\)-factorization for \(C_{00}\)-contractions with isometric functional calculus ⋮ A near-factorization theorem for integrable functions

Cites Work

• Invariant subspaces, dilation theory, and the structure of the predual of a dual algebra. I
• On the structure of contraction operators. I
• On the structure of contraction operators. II
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