Zobrazeno 1 - 10
of 34
pro vyhledávání: '"Louis E. Labuschagne"'
Publikováno v:
Expositiones Mathematicae. 40:758-818
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d8cc040d0718995c9f0498cbf35969e5
https://doi.org/10.1016/j.exmath.2021.11.005
https://doi.org/10.1016/j.exmath.2021.11.005
Autor:
W. Adam Majewski, Louis E. Labuschagne
The Fokker-Planck equation is a partial differential equation which is a key ingredient in many models in physics. This paper aims to obtain a quantum counterpart of Fokker-Planck dynamics, as a means to describing quantum Fokker-Planck dynamics. Giv
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0d58c56bbd934a4e1ff578cf24499543
Autor:
Louis E. Labuschagne, David P. Blecher
We establish several deep existence criteria for conditional expectations on von Neumann algebras, and then apply this theory to develop a noncommutative theory of representing measures of characters of a function algebra. Our main cycle of results d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4769878aa7fe785bdf0977306edd540a
Autor:
David P. Blecher, Louis E. Labuschagne
Publikováno v:
Transactions of the American Mathematical Society. 370:8215-8236
We extend Ueda's peak set theorem for subdiagonal subalgebras of tracial finite von Neumann algebras, to sigma-finite von Neumann algebras (that is, von Neumann algebras with a faithful state; which includes those on a separable Hilbert space, or wit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1343131291495cc4e011b2ade51f06a8
https://doi.org/10.1090/tran/7275
https://doi.org/10.1090/tran/7275
Since the pioneering work of Dixmier and Segal in the early 50’s, the theory of noncommutative LP-spaces has grown into a very refined and important theory with wide applications. Despite this fact there is as yet no self-contained peer-reviewed in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f4113f4d4c6087549a8af877e8638724
https://doi.org/10.18778/8220-385-1
https://doi.org/10.18778/8220-385-1
Autor:
Louis E. Labuschagne, David P. Blecher
Let A be a closed subalgebra of a C*-algebra, that is a closed algebra of Hilbert space operators. We generalize to such operator algebras $A$ several key theorems and concepts from the theory of classical function algebras. In particular we consider
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::983fd4c81c74a4b29da598d90822d516
Autor:
Louis E. Labuschagne, Quanhua Xu
Publikováno v:
Journal of Functional Analysis. 265:545-561
We formulate and establish a noncommutative version of the well known Helson–Szego theorem about the angle between past and future for subdiagonal subalgebras. We then proceed to use this theorem to characterise the symbols of invertible Toeplitz o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8df5564b46b0cbe0a5bab68ca456dea7
https://doi.org/10.1016/j.jfa.2013.05.015
https://doi.org/10.1016/j.jfa.2013.05.015
Autor:
Louis E. Labuschagne, David P. Blecher
Publikováno v:
Studia Mathematica. 217:265-287
We continue our study of outer elements of the noncommutative H^p spaces associated with Arveson's subdiagonal algebras. We extend our generalized inner-outer factorization theorem, and our characterization of outer elements, to include the case of e
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::038eec9b65e09f564a26ed6997ebe828
https://doi.org/10.4064/sm217-3-4
https://doi.org/10.4064/sm217-3-4
Publikováno v:
Infinite Dimensional Analysis, Quantum Probability and Related Topics. 12:439-468
Building on the ideas of Ref.14 we indicate how the concept of a composition operator may be extended to the context of Haagerup Lp-spaces.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c303e172f3b7eaa5df86ef8f8f603fde
https://doi.org/10.1142/s0219025709003793
https://doi.org/10.1142/s0219025709003793
Applications of the Fuglede-Kadison determinant: Szegö’s theorem and outers for noncommutative $H^p$
Autor:
Louis E. Labuschagne, David P. Blecher
Publikováno v:
Transactions of the American Mathematical Society. 360:6131-6147
We first use properties of the Fuglede-Kadison determinant on L p (M), for a finite von Neumann algebra M, to give several useful variants of the noncommutative Szego theorem for L p (M) , including the one usually attributed to Kolmogorov and Krein.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c0c5afb2b684ec327dd9375560677123
https://doi.org/10.1090/s0002-9947-08-04506-6
https://doi.org/10.1090/s0002-9947-08-04506-6