Unitary invariants in multivariable operator theory

DOI10.1090/memo/0941zbMath1180.47010arXivmath/0410492OpenAlexW2035241429MaRDI QIDQ3633449

Publication date: 21 June 2009

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

Full work available at URL: https://arxiv.org/abs/math/0410492

zbMATH Keywords

dilation trigonometric polynomials free semigroup Fock space von Neumann inequality joint numerical range row contraction multivariable operator theory joint numerical radius unitary invariant

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operator inequalities (47A63) Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Numerical range, numerical radius (47A12) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Research exposition (monographs, survey articles) pertaining to operator theory (47-02)

Related Items (49)

Operator theory on noncommutative polydomains. I. ⋮ Matricial function theory and weighted shifts ⋮ Inequalities for generalized Euclidean operator radius via Young's inequality ⋮ Free holomorphic functions on the unit ball of $B(\mathcal H)^n$. II ⋮ Some inequalities for the Euclidean operator radius of two operators in Hilbert spaces ⋮ Symmetry in tensor algebras over Hilbert space ⋮ Bohr inequalities on noncommutative polydomains ⋮ Some inequalities of Kato type for sequences of operators in Hilbert spaces ⋮ A note on doubly commuting tuples of hyponormal operators on Hilbert spaces ⋮ Composition operators on noncommutative Hardy spaces ⋮ Free biholomorphic functions and operator model theory ⋮ Norm-parallelism of Hilbert space operators and the Davis-Wielandt Berezin number ⋮ On the Davis–Wielandt radius inequalities of Hilbert space operators ⋮ Analytic mappings between noncommutative pencil balls ⋮ On joint numerical radius of operators and joint numerical index of a Banach space ⋮ Commuting tuples of normal operators in Hilbert spaces ⋮ Inequalities involving the generalized spherical Aluthge transform of operators ⋮ On some inequalities for numerical radius of semi-Hilbert space multioperators ⋮ On tuples of commuting operators in positive semidefinite inner product spaces ⋮ Upper bounds for the Euclidean spectral radius of operators via joint norms ⋮ Unnamed Item ⋮ Joint similarity in admissible noncommutative polydomains ⋮ Free biholomorphic functions and operator model theory. II ⋮ Berezin transforms on noncommutative varieties in polydomains ⋮ Free holomorphic functions and interpolation ⋮ Bohr inequalities for free holomorphic functions on polyballs ⋮ Free pluriharmonic majorants and commutant lifting ⋮ Further refinements of generalized numerical radius inequalities for Hilbert space operators ⋮ Operator theory on noncommutative domains ⋮ Hyper-positive definite functions I: scalar case, branching-type stationary stochastic processes ⋮ Noncommutative Berezin transforms and multivariable operator model theory ⋮ Applications of Kato's inequality for $n$-tuples of operators in Hilbert spaces. II ⋮ Multivariable Bohr inequalities ⋮ Invariant subspaces and operator model theory on noncommutative varieties ⋮ Berezin transforms on noncommutative polydomains ⋮ On joint spectral radius of commuting operators in Hilbert spaces ⋮ Upper bounds for numerical radius inequalities involving off-diagonal operator matrices ⋮ Algebras of noncommutative functions on subvarieties of the noncommutative ball: the bounded and completely bounded isomorphism problem ⋮ Noncommutative transforms and free pluriharmonic functions ⋮ Noncommutative hyperbolic geometry on the unit ball of $B(\mathcal H)^n$ ⋮ Noncommutative ball maps ⋮ Joint numerical radius of spherical Aluthge transforms of tuples of Hilbert space operators ⋮ Joint monotone and Boolean numerical and spectral radii of $d$-tuples of operators ⋮ Unitary invariants on the unit ball of $B(\mathcal {H})^n$ ⋮ Some extended numerical radius inequalities ⋮ Operator theory on noncommutative varieties, II ⋮ Some inequalities of Furuta's type for functions of operators defined by power series ⋮ Improved inequalities for the extension of Euclidean numerical radius ⋮ Euclidean operator radius inequalities of a pair of bounded linear operators and their applications

This page was built for publication: Unitary invariants in multivariable operator theory