Every completely polynomially bounded operator is similar to a contraction
From MaRDI portal
Publication:762426
DOI10.1016/0022-1236(84)90014-4zbMath0557.46035OpenAlexW2072952414MaRDI QIDQ762426
Publication date: 1984
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-1236(84)90014-4
contractionbounded maps between \(C^*\)-algebrascharacterization of the completely bounded representationscompletely polynomially boundedK-spectral setspolynomially bounded operatorstructure, representation and extension theorems for completelystructure, representation and extension theorems for completely bounded maps between \(C^*\)-algebras
General theory of (C^*)-algebras (46L05) Structure theory of linear operators (47A65) Representation theory of linear operators (47A67) Spectral sets of linear operators (47A25) Linear operators in algebras (47C05)
Related Items (56)
Joint similarity for commuting families of power bounded matrices ⋮ On the resolvent of a dilation for polynomial bounded operators ⋮ Universal compressions of representations of \(H^{\infty}(G)\) ⋮ On the similarity problem for polynomially bounded operators on Hilbert space ⋮ Multilinear maps and tensor norms on operator systems ⋮ Surgery on spectral sets. II: The multiply connected case ⋮ Polynomially unbounded product of two polynomially bounded operators ⋮ Dynamical sampling on finite index sets ⋮ Composition operators on noncommutative Hardy spaces ⋮ Free biholomorphic functions and operator model theory ⋮ On joint functional calculus for Ritt operators ⋮ Extreme states and boundary representations of operator spaces in ternary rings of operators ⋮ Noncommutative multivariable operator theory ⋮ The predual of the space of decomposable maps from a \(C^{\ast}\)-algebra into a von Neumann algebra ⋮ A polynomially bounded operator on Hilbert space which is not similar to a contraction ⋮ On some problems studied by R. V. Kadison ⋮ Dilation of Ritt operators on \(L^p\)-spaces ⋮ Similarity problems in noncommutative polydomains ⋮ On representations of completely bounded maps ⋮ Non-commutative disc algebras and their representations ⋮ Structure of block quantum dynamical semigroups and their product systems ⋮ Completely bounded module maps and the Haagerup tensor product ⋮ Factorization through matrix spaces for finite rank operators between \(C^*\)-algebras ⋮ Operator theory on noncommutative domains ⋮ The Unique Representation of a Selfadjoint Bounded Linear Functional ⋮ Positivity aspects of the Fantappiè transform ⋮ Completely Bounded Homomorphisms of Operator Algebras ⋮ A joint similarity problem for \(n\)-tuples of operators on vector-valued Bergman spaces ⋮ Vectorial Hankel operators, Carleson embeddings, and notions of BMOA ⋮ Non-commutative functional calculus ⋮ Representation of a Completely Bounded Bimodule Map ⋮ The numerical radius of a completely bounded map ⋮ Representations of Hardy algebras: Absolute continuity, intertwiners, and superharmonic operators ⋮ Ideals of a \(C^{*}\)-algebra generated by an operator algebra ⋮ A global dimension theorem for quantized Banach algebras ⋮ Norming algebras and automatic complete boundedness of isomorphisms of operator algebras ⋮ Clark measures and operators similar to a contraction ⋮ A dilation theory for polynomially bounded operators ⋮ A characterization of operator algebras ⋮ Some remarks on the operator of Foias and Williams ⋮ A joint similarity problem on vector-valued Bergman spaces ⋮ Residually finite-dimensional operator algebras ⋮ Power boundedness and similarity to contractions for some perturbations of isometries ⋮ Polynomial bounds for small matrices ⋮ Similarity to a contraction, for power-bounded operators with finite peripheral spectrum ⋮ A geometric spectral theory for \(n\)-tuples of self-adjoint operators in finite von Neumann algebras ⋮ Subspaces of \(L(H)\) that are *-invariant ⋮ Discrete quadratic estimates and holomorphic functional calculi in Banach spaces ⋮ Recent development of the theory of completely bounded maps between \(C^*\)-algebras ⋮ Injectivity of Operator Spaces ⋮ Example of a quasianalytic contraction whose spectrum is a proper subarc of the unit circle ⋮ Analytic equivalence and similarity of operators. ⋮ Convex domains and K-spectral sets ⋮ Completely contractive factorizations of \(C^*\)-algebras ⋮ Joint similarity and dilations for noncontractive sequences of operators. ⋮ Operator Ranges and Completely Bounded Homomorphisms
Cites Work
- Unnamed Item
- Unnamed Item
- Solution of the similarity problem for cyclic representations of \(C^*- algebras\)
- Ein operatorwertiger Hahn-Banach Satz
- Subalgebras of \(C^ *\)-algebras
- Completely Bounded Maps on C ∗ -Algebras and Invariant Operator Ranges
- Dilations and Hahn Decompositions for Linear Maps
- Ten problems in Hilbert space
- Eine Spektraltheorie für allgemeine Operatoren eines unitären Raumes. Erhard Schmidt zum 75. Geburtstag in Verehrung gewidmet
- Positive Functions on C ∗ -Algebras
This page was built for publication: Every completely polynomially bounded operator is similar to a contraction
