Unitary invariants on the unit ball of $B(\mathcal {H})^n$

DOI10.1090/S0002-9947-2013-05984-3zbMath1273.47019arXiv1208.4266OpenAlexW2071248821MaRDI QIDQ2855927

Gelu Popescu

Publication date: 23 October 2013

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.4266

zbMATH Keywords

automorphismcharacteristic functionPoisson kernelFock spaceprojective representationrow contractionunitary invariant

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Canonical models for contractions and nonselfadjoint linear operators (47A45) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48)

Related Items (3)

Characteristic functions of liftings-II ⋮ Free holomorphic functions on the unit ball of \(B(\mathcal H)^n\). II ⋮ Noncommutative hyperbolic geometry on the unit ball of \(B(\mathcal H)^n\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Free holomorphic functions on the unit ball of \(B(\mathbb H)^n\)
• Poisson transforms on some \(C^*\)-algebras generated by isometries
• Functional calculus for noncommuting operators
• Multi-analytic operators on Fock spaces
• Harmonic analysis of operators on Hilbert space
• Contractions with polynomial characteristic functions I. Geometric approach
• Isometric Dilations for Infinite Sequences of Noncommuting Operators
• Free holomorphic automorphisms of the unit ball of B(ℋ) n
• Entropy and multivariable interpolation
• Unitary invariants in multivariable operator theory
• Von Neumann inequality for $(B(\mathscr{H})^n)_1$.
• The curvature invariant of a Hilbert module over ℂ [z1, ..., zd]
• Non-commutative disc algebras and their representations
• Operator theory on noncommutative varieties
• Eine Spektraltheorie für allgemeine Operatoren eines unitären Raumes. Erhard Schmidt zum 75. Geburtstag in Verehrung gewidmet
• Curvature invariant for Hilbert modules over free semigroup algebras

This page was built for publication: Unitary invariants on the unit ball of $B(\mathcal {H})^n$