Zobrazeno 1 - 10
of 107
pro vyhledávání: '"Jury, Michael T."'
Autor:
Jury, Michael T., Tsikalas, Georgios
We introduce and study a scale of operator classes on the annulus that is motivated by the $\mathcal{C}_{\rho}$ classes of $\rho$-contractions of Nagy and Foia\c{s}. In particular, our classes are defined in terms of the contractivity of the double-l
Externí odkaz:
http://arxiv.org/abs/2307.13387
Autor:
Jury, Michael T., Tsikalas, Georgios
Let $F=(\phi, \psi):\mathbb{D}^2\to\mathbb{D}^2$ denote a holomorphic self-map of the bidisk without interior fixed points. It is well-known that, unlike the case with self-maps of the disk, the sequence of iterates $$\{F^n:=F\circ F\circ \cdots \cir
Externí odkaz:
http://arxiv.org/abs/2304.13171
Autor:
Jury, Michael T., Martin, Robert T. W.
In the classical Hardy space theory of square-summable Taylor series in the complex unit disk there is a circle of ideas connecting Szeg\"o's theorem, factorization of positive semi-definite Toeplitz operators, non-extreme points of the convex set of
Externí odkaz:
http://arxiv.org/abs/2204.05016
We characterize the non-commutative Aleksandrov--Clark measures and the minimal realization formulas of contractive and, in particular, isometric non-commutative rational multipliers of the Fock space. Here, the full Fock space over $\mathbb{C} ^d$ i
Externí odkaz:
http://arxiv.org/abs/2201.08045
We extend results on analytic complex measures on the complex unit circle to a non-commutative multivariate setting. Identifying continuous linear functionals on a certain self-adjoint subspace of the Cuntz--Toeplitz $C^*-$algebra, the free disk oper
Externí odkaz:
http://arxiv.org/abs/2201.07393
Autor:
Jury, Michael T., Martin, Robert T. W.
We examine densely defined (but possibly unbounded) multiplication operators in Hilbert function spaces possessing a complete Nevanlinna-Pick (CNP) kernel. For such a densely defined operator $T$, the domains of $T$ and $T^*$ are reproducing kernel H
Externí odkaz:
http://arxiv.org/abs/2108.04383
Autor:
Pfeffer, Douglas T., Jury, Michael T.
We establish versions of Szeg\H{o}'s distance formula and Widom's theorem on invertibility of (a family of) Toeplitz operators in a class of finite codimension subalgebras of uniform algebras, obtained by imposing a finite number of linear constraint
Externí odkaz:
http://arxiv.org/abs/2010.08610
A rational function belongs to the Hardy space, $H^2$, of square-summable power series if and only if it is bounded in the complex unit disk. Any such rational function is necessarily analytic in a disk of radius greater than one. The inner-outer fac
Externí odkaz:
http://arxiv.org/abs/2010.06585
We provide an effective single-matrix criterion, in terms of what we call the elementary Pick matrix, for the solvability of the noncommutative Nevanlinna-Pick interpolation problem in the row ball, and provide some applications. In particular we sho
Externí odkaz:
http://arxiv.org/abs/2005.07556
By classical results of Herglotz and F. Riesz, any bounded analytic function in the complex unit disk has a unique inner-outer factorization. Here, a bounded analytic function is called \emph{inner} or \emph{outer} if multiplication by this function
Externí odkaz:
http://arxiv.org/abs/2001.04496