Some examples of \(m\)-isometries
DOI10.1007/s00009-020-1501-0zbMath1505.47024arXiv1902.08492OpenAlexW3009386985MaRDI QIDQ2310458
Teresa Bermúdez, H. Zaway, Antonio Martinón
Publication date: 6 April 2020
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1902.08492
weighted shift operator\(m\)-isometryfinite dimensional space\(k\)-volumeisometric \(n\)-Jordan operatorstrict \(m\)-isometrysub-isometric \(n\)-Jordan operator
Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Operators on Hilbert spaces (general) (47B02)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Weighted shift and composition operators on \(\ell_{p}\) which are \((m,q)\)-isometries
- On ergodic operator means in Banach spaces
- Strict isometries of arbitrary orders
- Some results on higher order isometries and symmetries: products and sums with a nilpotent operator
- Supercyclicity and hypercyclicity of an isometry plus a nilpotent
- Weighted shift operators which are \(m\)-isometries
- Algebraic properties of operator roots of polynomials
- Classification of hereditary matrices
- Perturbation of \(m\)-isometries by nilpotent operators
- Complete hyperexpansivity, subnormality and inverted boundedness conditions.
- \(m\)-isometric transformations of Hilbert space. I
- \(m\)-isometric transformations of Hilbert space. II
- \(m\)-isometric transformations of Hilbert space. III
- \(C_0\)-semigroups of 2-isometries and Dirichlet spaces
- An isometry plus a nilpotent operator is an \(m\)-isometry. Applications
- \(C_{0}\)-semigroups of \(m\)-isometries on Hilbert spaces
- An Agler-type model theorem forC0-semigroups of Hilbert space contractions
- Functional calculus for m-isometries and related operators on Hilbert spaces and Banach spaces
- Invertible weighted shift operators which are 𝑚-isometries
- The structure of m-isometric weighted shift operators
- Powers of m-isometries
- A Disconjugacy Theorem for Toeplitz Operators
- Some Operator Theoretic Calculus for Positive Definite Kernels
- Isometric $N$-Jordan weighted shift operators
- Down with Determinants!
This page was built for publication: Some examples of \(m\)-isometries
