Results 21 to 30 of about 4,647,140 (179)
The Spectral Scale of a Self-Adjoint Operator in a Semifinite von Neumann Algebra
International Journal of Mathematics and Mathematical Sciences, 2011 We extend Akemann, Anderson, and Weaver's Spectral Scale definition to include selfadjoint operators from semifinite von Neumann algebras. New illustrations of spectral scales in both the finite and semifinite von Neumann settings are presented.
Christopher M. Pavone
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$G$-amenability for Direct Sum, Tensor Product and Free Product of von-Neumann Algebras [PDF]
ریاضی و جامعهFor a family of $W^*$-dynamical systems $(M_i, G, \alpha_i)_{i\in I}$, where $G$ is a locally compact group, we prove that if the direct sum $\bigoplus_{i \in I} M_i$ is $G$-amenable, then each $M_i$ is also $G$-amenable.Conversely, if all $M_i$'s form a
Mohammad Reza Ghanei
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Categorical characterizations of operator-valued measures [PDF]
Electronic Proceedings in Theoretical Computer Science, 2014 The most general type of measurement in quantum physics is modeled by a positive operator-valued measure (POVM). Mathematically, a POVM is a generalization of a measure, whose values are not real numbers, but positive operators on a Hilbert space.
Frank Roumen
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Arens Algebras and Matricial Spaces
Вестник КазНУ. Серия математика, механика, информатика, 2019 Let M be a finite von Neumann algebra equipped with a finite faithful normal trace and let Lp(M; ) be the corresponding noncommutative Lp space of -measurable operators associated with the couple (M; ), 1 ≤ p < ∞. Let MN be the algebra of all complex N
Denis Potapov, Fedor Sukochev
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The Amalgamated Free Product of Hyperfinite von Neumann Algebras [PDF]
, 2012 We examine the amalgamated free product of hyperfinite von Neumann algebras. First we describe the amalgamated free product of hyperfinite von Neumann algebras over finite dimensional subalgebras.
Redelmeier, Daniel
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Nonlinear Dynamics and Invariants of Motion in ReRAM Cells
Advanced Electronic Materials, EarlyView.A second‐order cell, hosting one capacitor and two back‐to‐back ReRAMs, admits Invariants of Motion: its states lie on one‐dimensional manifolds at all times. The cell shows quiescent monostability or bistability, depending on the manifold index. At equilibrium, the capacitor voltage vanishes.
Mauro Di Marco +5 more
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W* algebras as a complete axiomatization of Von-Neumann algebras [PDF]
, 2019 Der Author beweist in dieser ausgesprochen tief liegenden Diplomarbeit die Charakterisierung von S. Sakai von Von-Neumann-Algebren A durch die Eigenschaft, dass A neben seiner Struktur als C*-Algebra noch Dualraum eines Banachraumes ist.The author proves
Schindler, Clemens; orcid:
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Ultraproduct embeddings and amenability for tracial von Neumann algebras
, 2020 The separably acting hyperfinite/amenable II$_1$-factor $R$ has the property that any two embeddings into its own ultrapower are unitarily conjugate. Jung showed in 2009 that the converse holds modulo the Connes Embedding Problem.
Atkinson, Scott
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Artificial Intelligence for Advanced Functional Materials: Progress and Emerging Frontiers
Advanced Intelligent Systems, EarlyView.Artificial intelligence is transforming the discovery of functional materials by linking synthesis, characterization, simulation, and design in unified workflows. Advances in machine learning, autonomous experimentation, and foundation models are accelerating innovation across energy, electronics, and biomedicine, while revealing new frontiers for ...
Cristiano Malica +38 more
wiley +1 more source
Asymptotic freeness in tracial ultraproducts
Forum of Mathematics, SigmaWe prove novel asymptotic freeness results in tracial ultraproduct von Neumann algebras. In particular, we show that whenever $M = M_1 \ast M_2$ is a tracial free product von Neumann algebra and $u_1 \in \mathscr U(M_1)$ , $u_2 \in ...
Cyril Houdayer, Adrian Ioana
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