Results 31 to 40 of about 24,765 (204)

The Category of Von Neumann Algebras

CoRR, 2018
In this dissertation we study the category of completely positive normal contractive maps between von Neumann algebras. It includes an extensive introduction to the basic theory of $C^*$-algebras and von Neumann algebras.
openaire   +2 more sources

Choi-Davis-Jensen Inequalities in Semifinite von Neumann Algebras

Journal of Function Spaces, 2015
We prove the Choi-Davis-Jensen type submajorization inequalities on semifinite von Neumann algebras for concave functions and convex functions.
Turdebek N. Bekjan, Kordan N. Ospanov, Asilbek Zulkhazhav   +2 more
doaj   +1 more source

Quantum Programs as Kleisli Maps [PDF]

Electronic Proceedings in Theoretical Computer Science, 2017
Furber and Jacobs have shown in their study of quantum computation that the category of commutative C*-algebras and PU-maps (positive linear maps which preserve the unit) is isomorphic to the Kleisli category of a comonad on the category of commutative C*
Abraham Westerbaan
doaj   +1 more source

Nonassociative Algebras, Rings and Modules over Them

Mathematics, 2023
The review is devoted to nonassociative algebras, rings and modules over them. The main actual and recent trends in this area are described. Works are reviewed on radicals in nonassociative rings, nonassociative algebras related with skew polynomials ...
Sergey Victor Ludkowski
doaj   +1 more source

Generalisations of the Haagerup approximation property to arbitrary von Neumann algebras [PDF]

, 2014
The notion of the Haagerup approximation property, originally introduced for von Neumann algebras equipped with a faithful normal tracial state, is generalized to arbitrary von Neumann algebras.
Caspers, Martijn, Okayasu, Rui, Skalski, Adam, Tomatsu, Reiji   +3 more
core   +3 more sources

An application of the Sakai's theorem to the characterization of H*-algebras

International Journal of Mathematics and Mathematical Sciences, 1995
The well-known Sakai's theorem, which states that every derivation acting on a von Neumann algebra is inner, is ,used to obtain a new elegant proof of the Saworotnow's characterization theorem for associative H*-algebras via two-sided H*-algebras.
Borut Zalar
doaj   +1 more source

Weakly compact embedding of non-commutative symmetric spaces [PDF]

E-Journal of Analysis and Applied Mathematics
In this paper, we prove that the embeddings of certain well-known symmetric spaces are weakly compact. Our main results concern noncommutative Lorentz and Marcinkiewicz spaces on finite von Neumann algebras.
Olga S. Sadovskaya
doaj   +1 more source

Turing Automata and Graph Machines [PDF]

Electronic Proceedings in Theoretical Computer Science, 2010
Indexed monoidal algebras are introduced as an equivalent structure for self-dual compact closed categories, and a coherence theorem is proved for the category of such algebras.
Miklós Bartha
doaj   +1 more source

Information loss, mixing and emergent type III1 factors

Journal of High Energy Physics, 2023
A manifestation of the black hole information loss problem is that the two-point function of probe operators in a large Anti-de Sitter black hole decays in time, whereas, on the boundary CFT, it is expected to be an almost periodic function of time.
Keiichiro Furuya, Nima Lashkari, Mudassir Moosa, Shoy Ouseph   +3 more
doaj   +1 more source

Ueda's peak set theorem for general von Neumann algebras

, 2018
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 with ...
Blecher, David P., Labuschagne, Louis
core   +1 more source