Results 1 to 10 of about 4,790 (201)

Operator space characterizations of C*-algebras and ternary rings [PDF]

open access: yesPacific Journal of Mathematics, 2003
20 pages, latex, submitted in November ...
Neal, Matthew, Russo, Bernard
openaire   +6 more sources

Corrigendum: Derivations on ternary rings of operators [PDF]

open access: yesOperators and Matrices, 2019
Summary: A minor error in the original paper leads to several revised proofs (sections 2 and 4 below) and two new questions (section 5). The main results in the original paper are unaffected.
Pluta, Robert, Russo, Bernard
openaire   +2 more sources

Derivations on ternary rings of operators [PDF]

open access: yesOperators and Matrices, 2018
To each projection $p$ in a $C^*$-algebra $A$ we associate a family of derivations on $A$, called $p$-derivations, and relate them to the space of triple derivations on $p A (1-p)$. We then show that every derivation on a ternary ring of operators is spatial and we investigate whether every such derivation on a weakly closed ternary ring of operators ...
Pluta, Robert, Russo, Bernard
openaire   +3 more sources

Extreme states on operator spaces in ternary rings of operators

open access: yesProceedings - Mathematical Sciences, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
C S Arunkumar   +3 more
openaire   +1 more source

Ternary rings of operators arising from inverse semigroups

open access: yesSemigroup Forum, 2022
AbstractWe are interested in properties, especially injectivity (in the sense of category theory), of the ternary rings of operators generated by certain subsets of an inverse semigroup via the regular representation. We determine all subsets of the extended bicyclic semigroup which are closed under the triple product $$xy^*z$$
Pluta, Robert, Russo, Bernard
openaire   +3 more sources

Inclusions of ternary rings of operators and conditional expectations [PDF]

open access: yesMathematical Proceedings of the Cambridge Philosophical Society, 2013
AbstractIt is shown that if T is a ternary ring of operators (TRO), X is a nondegenerate sub-TRO of T and there exists a contractive idempotent surjective map P: T → X then P has a unique, explicitly described extension to a conditional expectation between the associated linking algebras.
Salmi, Pekka, Skalski, Adam
openaire   +2 more sources

Contractive idempotents on locally compact quantum groups [PDF]

open access: yes, 2012
A general form of contractive idempotent functionals on coamenable locally compact quantum groups is obtained, generalising the result of Greenleaf on contractive measures on locally compact groups.
Neufang, Matthias   +3 more
core   +2 more sources

Extrem states, operator spaces and ternary rings of operators

open access: yes3C TIC: Cuadernos de desarrollo aplicados a las TIC, 2022
In this survey article on extreme states of operator spaces in C¡-algebras and related ternary ring of operators an extension result for rectangular operator extreme states on operator spaces in ternary rings of operators is discussed. We also observe that in the spacial case of operator spaces in rectangular matrix spaces, rectangular extreme states ...
openaire   +1 more source

A characterization of nilpotent nonassociative algebras by invertible Leibniz-derivations [PDF]

open access: yes, 2016
Moens proved that a finite-dimensional Lie algebra over field of characteristic zero is nilpotent if and only if it has an invertible Leibniz-derivation.
Kaygorodov, Ivan, Popov, Yury
core   +2 more sources

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