Elements with generalized bounded conjugation orbits

DOI10.1090/S0002-9939-01-05945-7zbMath0973.47018MaRDI QIDQ2718964

Driss Drissi, Mostafa Mbekhta

Publication date: 14 May 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

spectrumlocalization principlespower-bounded operatorconjugation orbitoperator version of a tauberian type theorem

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15)

Related Items (7)

Some algebraic operators and the invariant subspace problem ⋮ GROWTH CONDITIONS FOR OPERATORS WITH SMALLEST SPECTRUM ⋮ Bounded sequences, orbits and invariant subspaces ⋮ Resolvent algebra of finite rank operators ⋮ Recurrent linear operators ⋮ Doubly power-bounded operators on \(L^{p}\), \(2\neq p > 1\) ⋮ On the commutant and orbits of conjugation

Cites Work

• The discrete Hille-Yosida space and the asymptotic behaviour of individual orbits of linear operators
• On a Boundedness Condition for Operators with a Singleton Spectrum
• Operators Commuting with Positive Operators
• Some spectral inequalities involving generalized scalar operators
• Operators with bounded conjugation orbits
• The Commutant of Analytic Toeplitz Operators
• Linear Operator Equations
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