Results 91 to 100 of about 24,765 (204)

Derivations and KMS-Symmetric Quantum Markov Semigroups. [PDF]

Commun Math Phys, 2023
Vernooij M, Wirth M.
europepmc   +1 more source

Nonlinear Mixed Skew Lie-Type Derivations on ∗-Algebras

Axioms
Consider A as a unital ∗-algebra. Given elements A,B∈A, the operations A•B=AB+BA* and [A,B]*=AB−BA* represent the skew Jordan product and the skew Lie product, correspondingly.
Mohammad Shane Alam, Omaima Alshanquiti
doaj   +1 more source

When left and right disagree: entropy and von Neumann algebras in quantum gravity with general AlAdS boundary conditions

Journal of High Energy Physics
Euclidean path integrals for UV-completions of d-dimensional bulk quantum gravity were recently studied in [1] by assuming that they satisfy axioms of finiteness, reality, continuity, reflection-positivity, and factorization.
Donald Marolf, Daiming Zhang
doaj   +1 more source

A Characterization of Nonadditive Skew Commuting Maps on ∗-Algebras

Journal of Mathematics
Let A be a unital ∗-algebra with the unit I and ZSA be the symmetric center of A. Assume that A contains a nontrivial projection P such that AAP=0 implies A=0 and AAI−P=0 implies A=0.
Liang Kong, Chao Li
doaj   +1 more source

Nonlinear Mixed Jordan-Type Derivations on ∗-Algebra

Axioms
Let A be a unital ∗-algebra over the complex fields C. In this article, it is proved that a nonlinear mixed bi-skew Jordan n-derivation is an additive ∗-derivation under certain conditions.
Amal S. Alali, Md Arshad Madni, Muzibur Rahman Mozumder   +2 more
doaj   +1 more source

A note on derivations of Murray-von Neumann algebras. [PDF]

Proc Natl Acad Sci U S A, 2014
Kadison RV, Liu Z.
europepmc   +1 more source

The existence of singularities and the origin of space-time

Zagadnienia Filozoficzne w Nauce, 2008
Methods of noncommutative geometry are applied to deal with singular space-times in general relativity. Such space-times are modeled by noncommutative von Neumann algebras of random operators.
Michał Heller
doaj  

Algebraic representations of von Neumann algebras

, 2006
An algebraic extended bilinear Hilbert semispace is proposed as being the natural representation space for the algebras of von Neumann.This bilinear Hilbert semispace has a well defined structure given by the representation space of an algebraic general bilinear semigroup over the product of sets of archimedean completions characterized by increasing ...
openaire   +2 more sources

A double commutant theorem for Murray-von Neumann algebras. [PDF]

Proc Natl Acad Sci U S A, 2012
Liu Z.
europepmc   +1 more source

Postulating the Unicity of the Macroscopic Physical World. [PDF]

Entropy (Basel), 2023
Van Den Bossche M, Grangier P.
europepmc   +1 more source