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Integral Equations and Operator Theory, ISSN 0378-620X, 1/2013, Volume 75, Issue 1, pp. 87 - 133
Journal Article
Communications in Contemporary Mathematics, ISSN 0219-1997, 10/2014, Volume 16, Issue 5, pp. 1350034 - 1-1350034-49
Journal Article
Journal Article
Integral Equations and Operator Theory, ISSN 0378-620X, 2/2019, Volume 91, Issue 1, pp. 1 - 55
The goal of this paper is to study the Bohr phenomenon in the setting of free holomorphic functions on noncommutative regular polydomains $$\mathbf{D_f^m}$$... 
Noncommutative polydomain | 46L52 | Bohr’s inequality | Weighted Fock space | Analysis | Primary 47A56 | Secondary 32A38 | Free holomorphic function | Berezin transform | Mathematics | Multivariable operator theory | 47A63 | MATHEMATICS | RADIUS | Bohr's inequality | THEOREM | TRANSFORMS
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 10/2019, Volume 478, Issue 1, pp. 256 - 293
We initiate the study of weighted multi-Toeplitz operators associated with noncommutative regular domains , , where is the algebra of all bounded linear... 
Free pluriharmonic function | Noncommutative domain | Multi-Toeplitz operator | Berezin transform | Multivariable operator theory | Full Fock space | MATHEMATICS, APPLIED | REPRESENTATIONS | ANALYTIC OPERATORS | MATHEMATICS | ALGEBRAS | ASTERISK-CORRESPONDENCES | TRANSFORMS
Journal Article
Integral Equations and Operator Theory, ISSN 0378-620X, 10/2018, Volume 90, Issue 5, pp. 1 - 17
Let $$H_m({\mathbb {B}})$$ Hm(B) be the analytic functional Hilbert space on the unit ball $${\mathbb {B}} \subset {\mathbb {C}}^n$$ B⊂Cn with reproducing... 
Secondary 47A45 | 46E22 | Analysis | 47B32 | Mathematics | Primary 47A13 | Multivariable Bergman shifts | Wold decomposition | Analytic models | MATHEMATICS | TUPLES | HYPERCONTRACTIONS | SUBSPACES | OPERATORS | ISOMETRIES
Journal Article
2007, 2nd ed., Systems & control., ISBN 9780817645816, xxvi, 575
Book
Journal of Functional Analysis, ISSN 0022-1236, 06/2019, Volume 276, Issue 11, pp. 3406 - 3440
A noncommutative domain , , of -tuples of bounded linear operators on a Hilbert space is associated with any positive regular free holomorphic function . If is... 
Noncommutative variety | Invariant subspace | Fock space | Multivariable operator theory | Wandering subspace | Noncommutative hyperball | Inner function | OPERATOR-THEORY | THEOREM | MATHEMATICS | INVARIANT SUBSPACES | STANDARD MODELS | BEREZIN TRANSFORMS
Journal Article
Journal of Functional Analysis, ISSN 0022-1236, 2008, Volume 254, Issue 4, pp. 1003 - 1057
Journal Article
MONATSHEFTE FUR MATHEMATIK, ISSN 0026-9255, 06/2019, Volume 189, Issue 2, pp. 377 - 381
In this brief note, we show that the hypotheses of Lowner's theorem on matrix monotonicity in several commuting variables as proved by Agler, and Young can be... 
Matrix montone functions | MATHEMATICS | Lowner's theorem | Multivariable operator theory | Commutative functional calculus
Journal Article
Advances in Mathematics, ISSN 0001-8708, 04/2019, Volume 347, pp. 1002 - 1053
Multivariable operator theory is used to provide Bohr inequalities for free holomorphic functions with operator coefficients on the regular polyball , , which... 
Free pluriharmonic function | Free holomorphic function | Berezin transform | Multivariable operator theory | Bohr's inequality | Noncommutative polyball | MATHEMATICS | Free pluriharrnonic function | RADIUS | THEOREM | TRANSFORMS | Analysis | Algebra
Journal Article
Transactions of the American Mathematical Society, ISSN 0002-9947, 06/2016, Volume 368, Issue 6, pp. 4357 - 4416
This paper is an attempt to unify the multivariable operator model theory for ball-like domains and commutative polydiscs and extend it to a more general class... 
Characteristic function | Noncommutative polydomain | Dilation theory | Fock space | Invariant subspace | Berezin transform | Free holomorphic function | Weighted shift | Multivariable operator theory | Functional calculus
Journal Article
1997, Mathematics and its applications, ISBN 0792346831, Volume 419, 500., 2 v.
Book
Journal of Functional Analysis, ISSN 0022-1236, 12/2014, Volume 267, Issue 11, pp. 4446 - 4498
In this paper we consider several problems of joint similarity to tuples of bounded linear operators in noncommutative polydomains and varieties associated... 
Berezin transform | Multivariable operator theory | Fock space | Similarity | POLYNOMIALLY BOUNDED OPERATOR | MATHEMATICS | ALGEBRAS | JOINT SIMILARITY | TRANSFORMS | Analysis | Algebra
Journal Article
Journal of Functional Analysis, ISSN 0022-1236, 11/2013, Volume 265, Issue 10, pp. 2500 - 2552
Let be a set of polynomials in noncommutative indeterminates , , . In this paper, we study noncommutative varieties where is a in and is the algebra of bounded... 
Noncommutative polydomain | Characteristic function | Noncommutative variety | Dilation theory | Fock space | Invariant subspace | Berezin transform | Free holomorphic function | Multivariable operator theory | POLYDISK | INTERPOLATION | MATHEMATICS | ALGEBRAS | STANDARD OPERATOR MODELS | POISSON TRANSFORMS | Analysis | Algebra
Journal Article
Monatshefte für Mathematik, ISSN 0026-9255, 6/2019, Volume 189, Issue 2, pp. 377 - 381
In this brief note, we show that the hypotheses of Löwner’s theorem on matrix monotonicity in several commuting variables as proved by Agler, and Young can be... 
Matrix montone functions | Secondary 32A40 | Primary 47A63 | Mathematics, general | Mathematics | Multivariable operator theory | Commutative functional calculus | Löwner’s theorem
Journal Article
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