Properties of polynomially Riesz operators on some Banach spaces

DOI10.1134/S1995080211010021zbMath1352.47018MaRDI QIDQ694386

Nadjib Boussetila, Abdelkader Dehici

Publication date: 12 December 2012

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

zbMATH Keywords

Fredholm perturbationsRiesz operatorshereditarily indecomposable Banach spacesSmyth decompositionWest decomposition

Mathematics Subject Classification ID

Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) (Semi-) Fredholm operators; index theories (47A53)

Related Items (3)

G-Riesz operators and their spectral properties ⋮ Spectral description of Fredholm operators via polynomially Riesz operators perturbation ⋮ Some spectral properties of linear operators on exotic Banach spaces

Cites Work

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• Perturbation theory for nullity, deficiency and other quantities of linear operators
• An arbitrarily distortable Banach space
• Invariant subspaces for the family of operators which commute with a completely continuous operator
• Riesz theory in Banach algebras
• On essentially incomparable Banach spaces
• On the structure of polynomially compact operators
• The perturbation classes problem in Fredholm theory.
• Some properties of strictly singular operators
• A new dichotomy for Banach spaces
• A universal property of reflexive hereditarily indecomposable Banach spaces
• The Unconditional Basic Sequence Problem
• STRICTLY SINGULAR, NON-COMPACT OPERATORS EXIST ON THE SPACE OF GOWERS AND MAUREY
• Compact Perturbations, Normal Eigenvalues and a Problem of Salinas
• Operatorenalgebren mit einer endlichen Anzahl von maximalen Idealen
• Strictly singular operators and the invariant subspace problem
• Quotient Hereditarily Indecomposable Banach Spaces
• Operators on Subspaces of Hereditarily Indecomposable Banach Spaces
• Interpolating hereditarily indecomposable Banach spaces
• The Decomposition of Riesz Operators
• Riesz operators and Fredholm perturbations

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