Automatic continuity of intertwining linear operators on Banach spaces

DOI10.1007/BF02845071zbMath0773.46027OpenAlexW2031317605MaRDI QIDQ1192088

Michael M. Neumann, K.B.Laursen

Publication date: 27 September 1992

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02845071

zbMATH Keywords

commutatorconvolution operators on group algebrasgeneralized intertwining transformationmultipliers on a commutative semisimple Banach algebrasemi- admissiblesimilar to a quotient of a decomposable operatorspectral property \((\delta)\)

Mathematics Subject Classification ID

Automatic continuity (46H40) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40)

Related Items (4)

Positive answer to the invariant and hyperinvariant subspaces problems for hyponormal operators ⋮ Translation-invariant linear operators ⋮ Subscalarity, invariant, and hyperinvariant subspaces for upper triangular operator matrices ⋮ Hyperinvariant subspace problem for some classes of operators

Cites Work

• Local spectral properties of multipliers on Banach algebras
• On quotients and restrictions of generalized scalar operators
• Non-analytic functional calculi and spectral maximal spaces
• Commutative Banach algebras and decomposable operators
• Algebraic spectral subspaces and automatic continuity
• Decomposable multipliers and applications to harmonic analysis
• Analytical Functional Models and Local Spectral Theory
• Intertwiners and Automatic Continuity
• Continuity of Linear Operators Commuting with Continuous Linear Operators
• Continuity of Linear Operators Commuting with Continuous Linear Operators. II
• Symmetrizable linear transformations
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