Zobrazeno 1 - 10
of 45
pro vyhledávání: '"Tavan T. Trent"'
Publikováno v:
Complex Analysis and Operator Theory. 12:101-109
We present a constructive method for finding a right inverse matrix of a matrix of polynomials that satisfies the corona condition. The right inverse matrix is also a matrix of polynomials and our method gives an upper bound for the degree of its ent
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::00c5168f0b708ad411b846a4e2c34926
https://doi.org/10.1007/s11785-016-0590-z
https://doi.org/10.1007/s11785-016-0590-z
Publikováno v:
Proceedings of the American Mathematical Society. 144:1145-1152
The Bezout version of Hilbert’s Nullstellensatz states that polynomials without a common zero form the unit ideal. In this paper, we start with a finite number of univariate polynomials and consider the polynomials that show up as a result of the N
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::062e6b1d5c1da12dc55cdea5ff0a201f
https://doi.org/10.1090/proc/12781
https://doi.org/10.1090/proc/12781
Autor:
Caleb D. Holloway, Tavan T. Trent
Publikováno v:
Proceedings of the American Mathematical Society. 143:611-620
We extend Wolff's theorem concerning ideals on H-infinity(D) to the matrix case, giving conditions under which an H-infinity solution G to the equation FG = H exists for all z in D, where F is an m-by-infinity matrix of functions in H-infinity (D), a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::715b54ad2c26286c006144fa1ee16d1d
https://doi.org/10.1090/s0002-9939-2014-12223-4
https://doi.org/10.1090/s0002-9939-2014-12223-4
Autor:
Tavan T. Trent
Publikováno v:
Integral Equations and Operator Theory. 75:151-164
Let \({\mathcal{A}}\) denote the multiplier algebra of an E-valued reproducing kernel Hilbert space, \({H_E^2(k)}\) . Then when H2(k) is nice, we give necessary and sufficient conditions that T > 0 factors as A*A, where A and \({A^{-1} \in \mathcal{A
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1653b3d4aba10b227c95d734052077d5
https://doi.org/10.1007/s00020-012-2017-1
https://doi.org/10.1007/s00020-012-2017-1
Autor:
Tavan T. Trent
Publikováno v:
Integral Equations and Operator Theory. 75:39-48
We give a constructive proof of Leech’s theorem for rational matrix functions. This enables us to provide an algorithm for solving rational matrix corona problems.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::683f058030f1c6b230c2beade501a90a
https://doi.org/10.1007/s00020-012-2000-x
https://doi.org/10.1007/s00020-012-2000-x
Autor:
Tavan T. Trent, Scott McCullough
Publikováno v:
Journal of Mathematical Analysis and Applications. 389(1):130-137
For a collection of reproducing kernels k which includes those for the Hardy space of the polydisk and the ball and for the Bergman space, k is a complete Pick kernel if and only if the multiplier algebra of H 2 ( k ) has the Douglas property. Conseq
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f8c2493a7144967876308ee3c47cdf74
Autor:
Tavan T. Trent
Publikováno v:
Proceedings of the American Mathematical Society. 136:2835-2838
We construct a simple reproducing kernel space whose multiplier algebra does not satisfy a "corona theorem".
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ab57ceab06886c2bea8297d3767c46ad
https://doi.org/10.1090/s0002-9939-08-09383-0
https://doi.org/10.1090/s0002-9939-08-09383-0
Autor:
Tavan T. Trent
Publikováno v:
Integral Equations and Operator Theory. 59:421-435
We give an algorithm to find corona solutions in H ∞ (D) for polynomial input data.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::50c0105c522161b1a134f95232cd268d
https://doi.org/10.1007/s00020-007-1538-5
https://doi.org/10.1007/s00020-007-1538-5
Autor:
Xinjun Zhang, Tavan T. Trent
Publikováno v:
Proceedings of the American Mathematical Society. 135:2845-2854
We extend the “matricial corona theorem” of M. Andersson to general algebras of functions which satisfy a corona theorem.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bdcdd4745848e51b93d9a24ef932ad10
https://doi.org/10.1090/s0002-9939-07-08806-5
https://doi.org/10.1090/s0002-9939-07-08806-5
Autor:
Tavan T. Trent, Xinjun Zhang
Publikováno v:
Proceedings of the American Mathematical Society. 134:2549-2558
We show that a usual corona-type theorem on a space of functions automatically extends to a matrix version.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1dfd375acf0871d3104016ee1bab6e23
https://doi.org/10.1090/s0002-9939-06-08172-x
https://doi.org/10.1090/s0002-9939-06-08172-x