Zobrazeno 1 - 10
of 147
pro vyhledávání: '"Kenneth R. Davidson"'
Publikováno v:
Annales Henri Poincaré.
The theory of positive maps plays a central role in operator algebras and functional analysis, and has countless applications in quantum information science. The theory was originally developed for operators acting on complex Hilbert spaces, and litt
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::53d4d91756f4af4ce1adf1950377a9c6
https://doi.org/10.1007/s00023-023-01325-x
https://doi.org/10.1007/s00023-023-01325-x
Publikováno v:
Linear Algebra Appl.
Linear Algebra Appl., 2023, 663, pp.102-115. ⟨10.1016/j.laa.2023.01.003⟩
Linear Algebra Appl., 2023, 663, pp.102-115. ⟨10.1016/j.laa.2023.01.003⟩
Arveson's extension theorem guarantees that every completely positive map defined on an operator system can be extended to a completely positive map defined on the whole C*-algebra containing it. An analogous statement where complete positivity is re
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e7f88df6f07369ef6d896b5bc9391a7e
https://hal.science/hal-03659614
https://hal.science/hal-03659614
Autor:
Vern I. Paulsen, Kenneth R. Davidson
Publikováno v:
Bulletin of the American Mathematical Society. 59:133-137
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::804480ec1aed0d0e301c383b87f79ae0
https://doi.org/10.1090/bull/1739
https://doi.org/10.1090/bull/1739
Publikováno v:
Journal of Functional Analysis. 277:3283-3350
A free semigroupoid algebra is the closure of the algebra generated by a TCK family of a graph in the weak operator topology. We obtain a structure theory for these algebras analogous to that of free semigroup algebra. We clarify the role of absolute
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0b3041ff99dd59db17e8482d7f58fd62
https://doi.org/10.1016/j.jfa.2019.06.002
https://doi.org/10.1016/j.jfa.2019.06.002
Autor:
Kenneth R. Davidson, Matthew Satriano
This book is a concrete introduction to abstract algebra and number theory. Starting from the basics, it develops the rich parallels between the integers and polynomials, covering topics such as Unique Factorization, arithmetic over quadratic number
Autor:
Kenneth R. Davidson, Benjamin Passer
We use Arveson's notion of strongly peaking representation to generalize uniqueness theorems for free spectrahedra and matrix convex sets which admit minimal presentations. A fully compressed separable operator system necessarily generates the C*-env
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::082be70df0aab4f689c2fa912d75c37b
http://arxiv.org/abs/2005.11582
http://arxiv.org/abs/2005.11582
Autor:
Eli Shamovich, Kenneth R. Davidson
Publikováno v:
Operator Theory, Operator Algebras and Their Interactions with Geometry and Topology ISBN: 9783030433796
The goal of this note is to apply ideas from commutative algebra (a.k.a. affine algebraic geometry) to the question of constrained Nevanlinna-Pick interpolation. More precisely, we consider subalgebras \(A \subset \mathbb {C}[z_1,\ldots ,z_d]\), such
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::20b630e3c27c48bfe06431372ce219df
https://doi.org/10.1007/978-3-030-43380-2_7
https://doi.org/10.1007/978-3-030-43380-2_7
Publikováno v:
Proceedings of the American Mathematical Society. 146:1189-1195
We define the complete numerical radius norm for homomorphisms from any operator algebra into B ( H ) \mathcal B(\mathcal H) , and show that this norm can be computed explicitly in terms of the completely bounded norm. This is used to show that if K
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::347dccfaedc65ebda051127a6352a34a
https://doi.org/10.1090/proc/13801
https://doi.org/10.1090/proc/13801
Autor:
Kenneth R. Davidson, Raphaël Clouâtre
Publikováno v:
Journal of Functional Analysis. 271:620-641
Absolutely continuous commuting row contractions admit a weak-$*$ continuous functional calculus. Building on recent work describing the first and second dual spaces of the closure of the polynomial multipliers on the Drury-Arveson space, we give a c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2a7ff06ec5d79014ba464a4ca45f04a3
https://doi.org/10.1016/j.jfa.2016.04.012
https://doi.org/10.1016/j.jfa.2016.04.012
Autor:
Raphaël Clouâtre, Kenneth R. Davidson
Publikováno v:
Advances in Mathematics. 295:90-149
We consider the closed algebra A d generated by the polynomial multipliers on the Drury–Arveson space. We identify A d ⁎ as a direct sum of the preduals of the full multiplier algebra and of a commutative von Neumann algebra, and establish analog
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c7b79006d4a59ce1190b6b203f4b2b7a
https://doi.org/10.1016/j.aim.2016.02.035
https://doi.org/10.1016/j.aim.2016.02.035