[图书][B] Theory of operator algebras II
M Takesaki - 2003 - Springer
to the Encyclopaedia Subseries on Operator Algebras and Non-Commutative Geometry The
theory of von Neumann algebras was initiated in a series of papers by Murray and von …
theory of von Neumann algebras was initiated in a series of papers by Murray and von …
[图书][B] Operator algebras and quantum statistical mechanics: Volume 1: C*-and W*-Algebras. Symmetry Groups. Decomposition of States
O Bratteli, DW Robinson - 2012 - books.google.com
In this book we describe the elementary theory of operator algebras and parts of the
advanced theory which are of relevance, or potentially of relevance, to mathematical …
advanced theory which are of relevance, or potentially of relevance, to mathematical …
[图书][B] Enveloping algebras
J Dixmier - 1996 - books.google.com
This is an English edition of Dixmier's book, which is the first systematic exposition of the
algebraic approach to representations of Lie groups via representations of (or modules over) …
algebraic approach to representations of Lie groups via representations of (or modules over) …
On Segal's postulates for general quantum mechanics
S Sherman - Annals of Mathematics, 1956 - JSTOR
In [81 I. Segal has presented" a set of postulates for a physical system" and deduced from
these" the main general features of the quantum theory of stationary states". Notable …
these" the main general features of the quantum theory of stationary states". Notable …
An order characterization of commutativity for 𝐶*-algebras
W Wu - Proceedings of the American Mathematical Society, 2001 - ams.org
In this paper, we investigate the problem of when a $ C^{\ast} $-algebra is commutative
through operator-monotonic increasing functions. The principal result is that the function …
through operator-monotonic increasing functions. The principal result is that the function …
W*-algebras and noncommutative integration
RP Kostecki - arXiv preprint arXiv:1307.4818, 2013 - arxiv.org
This text is a detailed overview of the theories of W*-algebras and noncommutative
integration, up to the Falcone-Takesaki theory of noncommutative Lp spaces over arbitrary …
integration, up to the Falcone-Takesaki theory of noncommutative Lp spaces over arbitrary …
Characterizations of commutativity for C*-algebras
MJ Crabb, J Duncan, CM McGregor - Glasgow Mathematical Journal, 1974 - cambridge.org
Characterizations of commutativity for C*-algebras Page 1 CHARACTERIZATIONS OF
COMMUTATIVITY FOR C*-ALGEBRAS by MJ CRABB, J. DUNCAN and CM MCGREGOR (Received …
COMMUTATIVITY FOR C*-ALGEBRAS by MJ CRABB, J. DUNCAN and CM MCGREGOR (Received …
Vector lattices of self-adjoint operators
DM Topping - 1962 - search.proquest.com
The author wishes to express here h is gratitude for the pa tien t and generous help given
him by Professors Frank D. Quigley and Fred B. Wright, Jr. of Tulane U n iversity during the …
him by Professors Frank D. Quigley and Fred B. Wright, Jr. of Tulane U n iversity during the …
Some new characterizations of central positive elements in C⁎-algebras
L Molnár - Journal of Mathematical Analysis and Applications, 2024 - Elsevier
In this paper, we give several characterizations for the centrality of elements in positive
definite cones of C⁎-algebras. From the results to be presented, we mention only two. The …
definite cones of C⁎-algebras. From the results to be presented, we mention only two. The …
A CHARACTERISATION OF CENTRAL ELEMENTS IN-ALGEBRAS
L Molnár - Bulletin of the Australian Mathematical Society, 2017 - cambridge.org
Wu ['An order characterization of commutativity for C∗-algebras', Proc. Amer. Math. Soc. 129
(2001), 983–987] proved that if the exponential function on the set of all positive elements of …
(2001), 983–987] proved that if the exponential function on the set of all positive elements of …