Results 191 to 200 of about 3,060 (235)
Measures on Classes of Subspaces Affiliated with a von Neumann Algebra [PDF]
International Journal of Theoretical Physics, 2009 Let ℳ be a von Neumann algebra acting on a Hilbert space H and let S be a dense lineal in H that is affiliated with a von Neumann algebra ℳ. The "topological" definition of measures on the classes of orthoclosed and splitting subspaces of S affiliated ...
Ekaterina Turilova
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2022
Abstract Continuing on from Chapter 11, Chapter 12 furthers the discussion of C*-algebras. This chapter is devoted to a particular class of C*-algebras called von Neumann algebras. The chapter presents the two great foundations of von Neumann algebra theory, which are the double commutant theorem of von Neumann and the density theorem of
Shmuel Kantorovitz, Ami Viselter
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Abstract Continuing on from Chapter 11, Chapter 12 furthers the discussion of C*-algebras. This chapter is devoted to a particular class of C*-algebras called von Neumann algebras. The chapter presents the two great foundations of von Neumann algebra theory, which are the double commutant theorem of von Neumann and the density theorem of
Shmuel Kantorovitz, Ami Viselter
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Banach Algebras and Von Neumann's Inequality
Proceedings of the London Mathematical Society, 1979We propose to investigate how far Von Neumann's type inequalities extend to various classes of Banach algebras related to uniform algebras and uniform algebras. Our approach also yields estimates for the growth of norms of homogeneous polynomials in several operators on a complex Hilbert space.
MANTERO, ANNA MARIA, Andrew Tonge
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A note on derivations of Murray–von Neumann algebras [PDF]
Proceedings of the National Academy of Sciences of the United States of America, 2014 A Murray-von Neumann algebra is the algebra of operators affiliated with a finite von Neumann algebra. In this article, we first present a brief introduction to the theory of derivations of operator algebras from both the physical and mathematical points
Richard V Kadison
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Acta Applicandae Mathematicae, 2007
Let \(G\) be a countable directed graph with vertices \(V(G)\) and edges \(E(G)\). Let \(\mathbb{G}\) denote the graph groupoid of \(G\), which can be regarded as the free groupoid generated by the edges of \(G\) whose identity elements correspond to the vertices of \(G\).
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Let \(G\) be a countable directed graph with vertices \(V(G)\) and edges \(E(G)\). Let \(\mathbb{G}\) denote the graph groupoid of \(G\), which can be regarded as the free groupoid generated by the edges of \(G\) whose identity elements correspond to the vertices of \(G\).
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Preduals of von Neumann Algebras
Functional Analysis and Its Applications, 2003In the paper under review, the author summarizes and sketches the proofs of the results given in the papers [Russ. J. Math. Phys. 10, 117--120 (2003; Zbl 1065.46039)] and [Adv. Stud. Contemp. Math., Kyungshang 7, 1--10 (2003; Zbl 1047.46042)]. The main results of the present paper are the following (from the abstract): (1) If the Banach space of a von ...
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Von Neumann Algebras and Hilbert Quantales
Applied Categorical Structures, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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CROSSED PRODUCTS OF VON NEUMANN ALGEBRAS
Russian Mathematical Surveys, 1971The paper is concerned with von Neumann algebras with finite trace and their -automorphisms, and with crossed products. A detailed investigation is made of the problem of constructing hyperfinite factors of type II1 by means of crossed products. Some new results are obtained on subfactors of hyperfinite factors of type II1 and also some new information
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AlgebraicK-theory of von Neumann algebras
K-Theory, 1993The paper is devoted to the computation of the algebraic \(K\)-group \(K_ 1({\mathcal A})\) and a closely related group \(K_ 1^ w ({\mathcal A})\) of a von Neumann algebra \({\mathcal A}\). First the authors define the algebraic \(K\)-group \(K_ 1 ({\mathcal A})\) as usual as being generated by bijective endomorphisms of finitely generated projective \(
Lück, Wolfgang, Rørdam, Mikael
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