Results 221 to 230 of about 1,409,700 (267)

Adjoining an Order Unit to a Matrix Ordered Space

Positivity, 2005
A matrix ordered space \(V\) is a vector space equipped with a \(*\) and a sequence of cones \(M_n(V)^+\) in the self-adjoint part \(M_n(V)_{sa}\) of \(M_n(V)\) such that \(M_n(V)\) is an ordered vector space and the cones satisfy invariance with respect to \(v \mapsto \gamma^* v \gamma\) for rectangular scalar matrices \(\gamma\).
exaly   +3 more sources

Q-orders with no unit on Q

Journal of Intelligent & Fuzzy Systems, 2022
For a usual commutative quantale Q (does not necessarily have a unit), we propose a definition of Q-ordered sets by introducing a kind of self-adaptive self-reflexivity. We study their completeness and the related Q-modules of complete lattices. The main result is that, the complete Q-ordered sets and the Q-modules of complete lattices are categorical ...
Cheng-Jie Zhou, Wei Yao
openaire   +1 more source

Units in noncommutative orders

2006
Let $A$ be a finite-dimensional algebra over the rational number field $\Bbb Q$. A subring $\Gamma$ with the same unit element is called an order if $\Gamma$ is a finitely generated $\Bbb Z$-submodule such that $\Gamma$ contains a $\Bbb Q$-basis of $A$. Although the unit group $U(\Gamma)$ of $\Gamma$ is finitely generated, the determination of a finite
Dooms, Ann, Jespers, Eric
openaire   +2 more sources

Ordered *-Algebras with an Order Unit

Communications in Algebra, 2015
We develop a theory of ordered *-algebras with an order unit. These are complex algebras equipped with a conjugate-linear vector space involution whose hermitian elements form an ordered real algebra with an order unit but not necessarily with a multiplicative identity.
openaire   +1 more source

Non-Unit Free Triangle Orders

Order, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Barry A. Balof, Kenneth P. Bogart
openaire   +2 more sources

UNITS FOR THE TIME-ORDERED FOCK MODULE

Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2001
We give an explicit formula for all continuous units for the product system associated with an arbitrary time-ordered Fock module over a two-sided Hilbert ℬ-module. Like in the case of the symmetric Fock space, the units may be considered as exponential vectors to indicator function possibly renormalized by a semigroup.
LIEBSCHER V., SKEIDE, Michael
openaire   +3 more sources