Similarity to a contraction, for power-bounded operators with finite peripheral spectrum
DOI10.1090/S0002-9947-98-02303-4zbMath0899.47012OpenAlexW1577167794MaRDI QIDQ4211096
Publication date: 10 September 1998
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9947-98-02303-4
numerical rangesimilar to a contractionfunctional calculusfinite peripheral spectrumgrowth condition on the resolventpower-bounded linear operator on a Hilbert space
Functional calculus for linear operators (47A60) Spectrum, resolvent (47A10) Numerical range, numerical radius (47A12) Groups and semigroups of linear operators (47D03) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Structure theory of linear operators (47A65) Canonical models for contractions and nonselfadjoint linear operators (47A45)
Related Items (4)
Cites Work
- Every completely polynomially bounded operator is similar to a contraction
- Semigroups of linear operators and applications to partial differential equations
- Semigroups and resolvents of bounded variation imaginary powers and \(H^ \infty\) functional calculus
- The similarity problem for bounded analytic semigroups on Hilbert space
- On models for linear operators
- Note on fractional powers of linear operators
- Spectral Theorem for Unbounded Strongly Continuous Groups on a Hilbert Space
- A polynomially bounded operator on Hilbert space which is not similar to a contraction
- Ten problems in Hilbert space
- On Foguel's Answer to Nagy's Question
- A Counterexample to a Problem of SZ.-Nagy
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Similarity to a contraction, for power-bounded operators with finite peripheral spectrum
