Tensorial function theory: from Berezin transforms to Taylor's Taylor series and back

DOI10.1007/s00020-013-2062-4zbMath1291.46043arXiv1210.2964OpenAlexW2046864766MaRDI QIDQ361898

Paul S. Muhly, Baruch Solel

Publication date: 19 August 2013

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.2964

zbMATH Keywords

Berezin transformsfree holomorphic functionsHardy algebrasmatricial functionsmatricial setsnoncommutaive analytic funcionsTaylor's Taylor series

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Abstract operator algebras on Hilbert spaces (47L30) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) General properties of functions of one complex variable (30A99) Representations of topological algebras (46H15) Holomorphic maps in nonlinear functional analysis (46T25) Groups and semigroups of linear operators, their generalizations and applications (47D99) Nonselfadjoint (sub)algebras in algebras with involution (46K50)

Related Items (14)

Aspects of non-commutative function theory ⋮ Matricial function theory and weighted shifts ⋮ Geometry of free loci and factorization of noncommutative polynomials ⋮ Function theory from tensor algebras ⋮ On automorphism groups of Hardy algebras ⋮ Free biholomorphic functions and operator model theory. II ⋮ Crossed Products of Operator Algebras ⋮ Blaschke-singular-outer factorization of free non-commutative functions ⋮ A non-commutative Julia inequality ⋮ On fixed points of self maps of the free ball ⋮ Holomorphic functions on the quantum polydisk and on the quantum ball ⋮ Algebras of bounded noncommutative analytic functions on subvarieties of the noncommutative unit ball ⋮ On domains of noncommutative rational functions ⋮ Noncommutative reproducing kernel Hilbert spaces

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