Search Results - "Russo, Bernard"

Corrigendum to “Ternary operator categories” [J. Math. Anal. Appl. 505 (2) (2022) 125590] by Pluta, Robert, Russo, Bernard

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Ternary operator categories by Pluta, Robert, Russo, Bernard

“…T*-categories are introduced as a ternary generalization of C*-categories. Their linking C*-categories are constructed and the Gelfand-Naimark representation…”
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Ternary rings of operators arising from inverse semigroups by Pluta, Robert, Russo, Bernard

“…We are interested in properties, especially injectivity (in the sense of category theory), of the ternary rings of operators generated by certain subsets of an…”
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Representation of contractively complemented Hilbertian operator spaces on the Fock space by Neal, Matthew, Russo, Bernard

“…The operator spaces H_n^k, 1\le k\le n, generalizing the row and column Hilbert spaces, and arising in the authors' previous study of contractively…”
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Contractive projections and operator spaces by Neal, Matthew, Russo, Bernard

“…Parallel to the study of finite-dimensional Banach spaces, there is a growing interest in the corresponding local theory of operator spaces. We define a family…”
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Automatic continuity of derivations on C⁎-algebras and JB⁎-triples by Peralta, Antonio M., Russo, Bernard

“…We introduce the notion of Banach Jordan triple modules and determine the precise conditions under which every derivation from a JB⁎-triple E into a Banach…”
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On the structure of weakly closed ternary rings of operators by Pluta, Robert, Russo, Bernard

“…Calculation of the universal enveloping TROs of continuous JBW*-triples, and application of the techniques used to supplement some structural results of Ruan…”
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A HOLOMORPHIC CHARACTERIZATION OF OPERATOR ALGEBRAS by NEAL, MATTHEW, RUSSO, BERNARD

“…A necessary and sufficient condition for an operator space to support a multiplication making it completely isometric and isomorphic to a unital operator…”
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Existence of contractive projections on preduals of JBW-triples by Neal, Matthew, Russo, Bernard

“…In 1965, Ron Douglas proved that if X is a closed subspace of an L 1 -space and X is isometric to another L 1 -space, then X is the range of a contractive…”
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Anti-C-algebras by Pluta, Robert, Russo, Bernard

“…We introduce a class of Banach algebras that we call anti-C*-algebras. We show that the normed standard embedding of a C*-ternary ring is the direct sum of a…”
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TERNARY WEAKLY AMENABLE C-ALGEBRAS AND JB-TRIPLES by Ho, T., Peralta, A. M., Russo, B.

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Ternary rings of operators arising from inverse semigroups by Pluta, Robert, Russo, Bernard

“…We are interested in properties, especially injectivity (in the sense of category theory), of the ternary rings of operators generated by certain subsets of an…”
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Operator Categories I. T-categories by Pluta, Robert, Russo, Bernard

“…Journal of Mathematical Analysis and Applications 505 (2022), no. 2, 37 pp T*-categories are introduced as a ternary generalization of C*-categories. Their…”
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Universal enveloping TROs and structure of W-TROs by Russo, Bernard

“…Calculation of the universal enveloping TROs of continuous JBW$*-triples, and application of the techniques used to supplement the structural results of Ruan…”
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Classification of contractively complemented Hilbertian operator spaces by Neal, Matthew, Ricard, Éric, Russo, Bernard

“…We construct some separable infinite-dimensional homogeneous Hilbertian operator spaces H ∞ m , R and H ∞ m , L , which generalize the row and column spaces R…”
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Derivations on ternary rings of operators by Pluta, Robert, Russo, Bernard

“…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…”
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State spaces of JB -triples by Neal, Matthew, Russo, Bernard

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Homomorphic conditional expectations as noncommutative retractions by Pluta, Robert, Russo, Bernard

“…Let $A$ be a $C^*$-algebra and $E\colon A \to A$ a conditional expectation. The Kadison-Schwarz inequality for completely positive maps, $$E(x)^*E(x) \leq…”
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Operator space characterizations of c-algebras and ternary rings by NEAL, Matthew, RUSSO, Bernard

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Derivations and Projections on Jordan Triples. An introduction to nonassociative algebra, continuous cohomology, and quantum functional analysis by Russo, Bernard

“…This paper is an elaborated version of the material presented by the author in a three hour minicourse at "V International Course of Mathematical Analysis in…”
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