Results 11 to 20 of about 78 (60)
Biweights and *‐homomorphisms of partial *‐algebras
International Journal of Mathematics and Mathematical Sciences, Volume 2006, Issue 1, 2006., 2006 Consider two partial *‐algebras, 1 and 2, and an *‐homomorphism Φ from 1 into 2. Given a biweight ϕ on 2, we discuss conditions under which the natural composition ϕ∘Φ of ϕ and Φ is a biweight on 1. In particular, we examine whether the restriction of a biweight to a partial *‐subalgebra is again a biweight.
Jean-Pierre Antoine +2 more
wiley +1 more source
On weak convergence of iterates in quantum Lp‐spaces (p ≥ 1)
International Journal of Mathematics and Mathematical Sciences, Volume 2005, Issue 14, Page 2307-2319, 2005., 2005 Equivalent conditions are obtained for weak convergence of iterates of positive contractions in the L1‐spaces for general von Neumann algebra and general JBW algebras, as well as for Segal‐Dixmier Lp‐spaces (1 ≤ p < ∞) affiliated to semifinite von Neumann algebras and semifinite JBW algebras without direct summands of type I2.
Genady Ya. Grabarnik +2 more
wiley +1 more source
An application of the Sakai′s theorem to the characterization of H*‐algebras
International Journal of Mathematics and Mathematical Sciences, Volume 18, Issue 2, Page 317-322, 1995., 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. This proof completely avoids structure theory.
Borut Zalar
wiley +1 more source
The geometry of physical observables
, 2020 Jordan algebras were first introduced in an effort to restructure quantum mechanics purely in terms of physical observables. In this paper we explain why, if one attempts to reformulate the internal structure of the standard model of particle physics ...
Farnsworth, S.
core +2 more sources
Beyond the Standard Model with noncommutative geometry, strolling towards quantum gravity
, 2015 Noncommutative geometry, in its many incarnations, appears at the crossroad of various researches in theoretical and mathematical physics: from models of quantum space-time (with or without breaking of Lorentz symmetry) to loop gravity and string theory,
Martinetti, Pierre
core +1 more source
Self-consistent Calculation of Real Space Renormalization Group Flows and Effective Potentials [PDF]
, 1996 We show how to compute real space renormalization group flows in lattice field theory by a self-consistent method. In each step, the integration over the fluctuation field (high frequency components of the field) is performed by a saddle point method ...
Balaban +28 more
core +2 more sources
Noncommutative topology and Jordan operator algebras
, 2018 Jordan operator algebras are norm-closed spaces of operators on a Hilbert space with $a^2 \in A$ for all $a \in A$. We study noncommutative topology, noncommutative peak sets and peak interpolation, and hereditary subalgebras of Jordan operator algebras.
Blecher, David P., Neal, Matthew
core +1 more source
Nonassociative $\mathrm{L}^p$-spaces and embeddings in noncommutative $\mathrm{L}^p$-spaces
, 2023 We define a notion of nonassociative $\mathrm{L}^p$-space associated to a $\mathrm{JBW}^*$-algebra (Jordan von Neumann algebra) equipped with a normal faithful state $\varphi$.
Arhancet, Cédric
core
Noncommutative Geometry and Quantum Field Theory [PDF]
, 2005 The workshop gathered experts from both mathemematics and physics working on the interrelation of Noncommutative Geometry and Quantum Field Theory, which has become one of the central topics in mathematical physics over the last decade.
core +2 more sources
Positive contractive projections on noncommutative $\mathrm{L}^p$-spaces
, 2020 In this paper, we prove the first theorems on contractive projections on general noncommutative $\mathrm{L}^p$-spaces associated with non-type I von Neumann algebras where $1 < p < \infty$.
Arhancet, Cédric
core