Structure of elementary operators defining \(m\)-left invertible, \(m\)-selfadjoint and related classes of operators
From MaRDI portal
Publication:1995794
DOI10.1016/j.jmaa.2020.124718OpenAlexW3045165229MaRDI QIDQ1995794
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
Banach spacecommuting operatorsproduct of operators\(m\)-isometric and \(m\)-selfadjoint operators\(m\)-left invertibleleft/right multiplication operatorperturbation by nilpotents
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 ∑ AkXBk ≡ 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
