Structure of elementary operators defining \(m\)-left invertible, \(m\)-selfadjoint and related classes of operators

DOI10.1016/j.jmaa.2020.124718OpenAlexW3045165229MaRDI QIDQ1995794

Yanyan Li

Publication date: 25 February 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.11368

zbMATH Keywords

Banach spacecommuting operatorsproduct of operators\(m\)-isometric and \(m\)-selfadjoint operators\(m\)-left invertibleleft/right multiplication operatorperturbation by nilpotents

Mathematics Subject Classification ID

Commutators, derivations, elementary operators, etc. (47B47)

Related Items

Class of operators related to a \((m,C)\)-isometric tuple of commuting operators, \(m\)-Isometric tensor products, Products of pairs of commuting \(d\)-tuples of Banach space operators satisfying an \(m\)-isometric property, Expansive operators and Drazin invertibility, Isometric, symmetric and isosymmetric commuting \(d\)-tuples of Banach space operators, On \((m, P)\)-expansive operators: products, perturbation by nilpotents, Drazin invertibility, \(m\)-isometric generalised derivations

Cites Work

• Unnamed Item
• Unnamed Item
• Tensor product of \(n\)-isometries
• Algebraic properties of operator roots of polynomials
• Isometric properties of elementary operators
• Classification of hereditary matrices
• Perturbation of \(m\)-isometries by nilpotent operators
• \(m\)-isometric transformations of Hilbert space. I
• \(m\)-isometric transformations of Hilbert space. II
• \(m\)-isometric transformations of Hilbert space. III
• Some properties of \(m\)-isometries and \(m\)-invertible operators on Banach spaces
• Products of \(m\)-isometries
• An isometry plus a nilpotent operator is an \(m\)-isometry. Applications
• Elementary operators which are \(m\)-isometries
• m-isometries on Banach spaces
• Powers of m-isometries
• On the Operator Identity ∑ A_kXB_k ≡ 0
• Hereditary Classes of Operators and Matrices
• Properties of <i>m</i>-complex symmetric operators
• Tensor product of left n-invertible operators
• Structures of left n-invertible operators and their applications
• On the tensor products of operators
• Infinite Dimensional Jordan Operators and Sturm-Liouville Conjugate Point Theory