Zobrazeno 1 - 10
of 29
pro vyhledávání: '"Michael T. Jury"'
Publikováno v:
Canadian Journal of Mathematics. :1-53
We characterize the noncommutative Aleksandrov–Clark measures and the minimal realization formulas of contractive and, in particular, isometric noncommutative rational multipliers of the Fock space. Here, the full Fock space over $\mathbb {C} ^d$ i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e4bdaa9c1e9e853dabf4fb7cc33bb6b5
https://doi.org/10.4153/s0008414x22000384
https://doi.org/10.4153/s0008414x22000384
Publikováno v:
Transactions of the American Mathematical Society. 374:6727-6749
A rational function belongs to the Hardy space, H 2 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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7e176d5fc09a2a846b9fecd4214f5c19
https://doi.org/10.1090/tran/8418
https://doi.org/10.1090/tran/8418
Publikováno v:
The Journal of Geometric Analysis. 31:3137-3160
Motivated by classical notions of partial convexity, biconvexity, and bilinear matrix inequalities, we investigate the theory of free sets that are defined by (low degree) noncommutative matrix polynomials with constrained terms. Given a tuple of sym
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cfe05135e2ee8c42fe20b4b3f5d1f151
https://doi.org/10.1007/s12220-020-00387-1
https://doi.org/10.1007/s12220-020-00387-1
Autor:
Michael T. Jury, Robert T. W. Martin
Publikováno v:
Integral Equations and Operator Theory. 94
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::59c8708584eb2e4cead6c6378a5acd77
https://doi.org/10.1007/s00020-022-02690-8
https://doi.org/10.1007/s00020-022-02690-8
Autor:
Douglas T. Pfeffer, Michael T. Jury
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::032e01e9d4793c2a31576bca984d2ce9
http://arxiv.org/abs/2010.08610
http://arxiv.org/abs/2010.08610
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::babe500dac7ecbdc6f53c2bc1b9d0f09
http://arxiv.org/abs/2005.07556
http://arxiv.org/abs/2005.07556
Motivated by classical notions of bilinear matrix inequalities (BMIs) and partial convexity, this article investigates partial convexity for noncommutative functions. It is shown that noncommutative rational functions that are partially convex admit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::77feff37057cc85b1ccd79841c3c3cfb
Autor:
Robert T. W. Martin, Michael T. Jury
Publikováno v:
Bulletin of the London Mathematical Society. 51:223-229
Let $\mathcal H$ be a reproducing kernel Hilbert space with a normalized complete Nevanlinna-Pick (CNP) kernel. We prove that if $(f_n)$ is a sequence of functions in $\mathcal H$ with $\sum\|f_n\|^2
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8765d101abdea01230ca08d5e1ebd3ff
https://doi.org/10.1112/blms.12222
https://doi.org/10.1112/blms.12222
Autor:
Robert T. W. Martin, Michael T. Jury
Publikováno v:
Proceedings of the American Mathematical Society. 146:4293-4306
We give a new characterization of the so-called quasi-extreme multipliers of the Drury–Arveson space H d 2 H^2_d and show that every quasi-extreme multiplier is an extreme point of the unit ball of the multiplier algebra of H d 2 H^2_d .
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2b0b91a47fb06d1be06bda349ad7e8b8
https://doi.org/10.1090/proc/14062
https://doi.org/10.1090/proc/14062
Publikováno v:
Advances in Mathematics. 384:107720
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 inner or outer if multiplication by this function defines an i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::11768bd105965db259e83dac139a7b4c
https://doi.org/10.1016/j.aim.2021.107720
https://doi.org/10.1016/j.aim.2021.107720