Results 71 to 80 of about 461,348 (110)

Matrix Bundles and Operator Algebras Over a Finitely Bordered Riemann Surface

Complex Analysis and Operator Theory, 2018
Kathryn McCormick
semanticscholar   +1 more source

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Noncommutative varieties, universal operator models, and operator algebras

Journal of operator theory, 2023
The goal of this paper is to introduce large classes of noncommutative varieties in non-regular noncommutative domains in B(H)n, where B(H) is the algebra of all bounded linear operators on a Hilbert space H, and study them in connection with their ...
Gelu Popescu
semanticscholar   +1 more source

Operator product states on tensor powers of $$C^*$$-algebras

Advances in Operator Theory, 2021
The program of matrix product states on tensor powers $\mathcal A^{\otimes \mathbb Z}$ of $C^\ast$-algebras, initiated in Comm. Math. Phys. {\bf 144}, 443-490 (1992), is re-assessed in a context where $\mathcal A$ is a generic nuclear $C^\ast$-algebra ...
E. Prodan
semanticscholar   +1 more source

On transitive operator algebras in real Banach spaces

Journal of operator theory, 2022
We consider weakly closed transitive algebras of operators containing non-zero compact operators in real Banach spaces (Lomonosov algebras). It is shown that they are naturally divided in three classes: the algebras of real, complex and quaternion ...
E. Kissin, V. Shulman, Yuriĭ V. Turovskiĭ   +2 more
semanticscholar   +1 more source

Multiple operator integrals in non-separable von Neumann algebras

Journal of operator theory, 2021
A multiple operator integral (MOI) is an indispensable tool in several branches of noncommutative analysis. However, there are substantial technical issues with the existing literature on the ``separation of variables'' approach to defining MOIs ...
Evangelos A. Nikitopoulos
semanticscholar   +1 more source

Real Operator Algebras and Real Positive Maps

Integral equations and operator theory, 2020
We present some foundations for a theory of real operator algebras and real Jordan operator algebras, and the various morphisms between these. A common theme is the ingredient of real positivity from papers of the first author with Read, Neal, Wang, and ...
D. Blecher, Worawit Tepsan
semanticscholar   +1 more source

Stably isomorphic dual operator algebras

, 2007
We prove that two unital dual operator algebras A, B are stably isomorphic if and only if they are Δ-equivalent (Eleftherakis in J Pure Appl Algebra, ArXiv:math.
G. Eleftherakis, V. Paulsen
semanticscholar   +1 more source

COMPLETELY BOUNDED MAPS AND OPERATOR ALGEBRAS (Cambridge Studies in Advanced Mathematics 78)

, 2004
operator algebras are the focus of the second half of the book. Such an algebra may be naturally defined as an abstract operator space carrying a completely contractive multiplication.
Martin Mathieu
semanticscholar   +1 more source

Noncommutative domains, universal operator models, and operator algebras

Journal of operator theory
Let B(H) be the algebra of all bounded linear operators on a Hilbert space H. The main goal of the paper is to find large classes of noncommutative domains in B(H) with prescribed universal operator models, acting on the full Fock space with n generators,
Gelu Popescu
semanticscholar   +1 more source

Complete Descriptions of Intermediate Operator Algebras by Intermediate Extensions of Dynamical Systems

Communications in Mathematical Physics, 2018
Practically and intrinsically, inclusions of operator algebras are of fundamental interest. The subject of this paper is intermediate operator algebras of inclusions.
Yuhei Suzuki
semanticscholar   +1 more source