Results 61 to 70 of about 9,623 (179)
Commentarii Mathematici Helvetici, 2004 Consider an associative algebra of differential operators in \(n\) indeterminates (with smooth or polynomial coefficients) with respect to composition. Its subspace \(W(n)\) of vector fields (i.e. first-order differential operators) constitutes a famous Lie algebra of general Cartan type with respect to commutator.
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Gudder–Nagy’s Theorem for Hilbert K(H)‐Modules
Journal of Mathematics, Volume 2025, Issue 1, 2025.We show in this paper Gudder–Nagy’s theorem for operators on Hilbert C∗‐modules over C∗‐algebra of compact operators. Let H be a complex Hilbert space with dim H > 1, and K(H) the C∗‐algebra of compact operators on H. For bounded K(H)‐linear operators A, B and C on Hilbert C∗‐module X over K(H), we show that 〈Ax, x〉〈Bx, x〉 = 〈x, x〉〈Cx, x〉, for all x ...
Ming-Hsiu Hsu, Ljubisa Kocinac
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Operational Quantum Mereology and Minimal Scrambling [PDF]
QuantumIn this paper we will attempt to answer the following question: what are the natural quantum subsystems which emerge out of a system's dynamical laws?
Paolo Zanardi +3 more
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Locality in GNS Representations of Deformation Quantization
, 1999 In the framework of deformation quantization we apply the formal GNS construction to find representations of the deformed algebras in pre-Hilbert spaces over $\mathbb C[[\lambda]]$ and establish the notion of local operators in these pre-Hilbert spaces ...
Waldmann, Stefan
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Journal of Algebra, 2003 The purpose of this paper is to study finite-dimensional Lie algebras over a field k of characteristic zero which admit a commutative polarization (CP). Among the many results and examples, it is shown that, if k is algebraically closed, the nilradical N of a parabolic subalgebra in A_n and C_n has such a CP.
ELASHVILI, Alexander, OOMS, Alfons
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Actions on classifiable C*‐algebras without equivariant property (SI)
Bulletin of the London Mathematical Society, Volume 56, Issue 12, Page 3623-3633, December 2024.Abstract We exhibit examples of actions of countable discrete groups on both simple and non‐simple nuclear stably finite C*‐algebras that are tracially amenable but not amenable. We furthermore obtain that, under the additional assumption of strict comparison, amenability is equivalent to tracial amenability plus the equivariant analogue of Matui–Sato ...
Eusebio Gardella +2 more
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The unbounded commutant of an operator of class C_0
, 2009 We describe the closed, densely defined linear transformations commuting with a given operator T of class C_0 in terms of bounded operators in {T}'.
Bercovici, Hari
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MATHEMATICA SCANDINAVICA, 1988 Let \({\mathcal B}\) be a Banach space, \(\sigma\) a \(C_ 0\)-group of isometries of \({\mathcal B}\) with generator \(H\), and \({\mathcal D}\subseteq D(H)\) a \(\sigma\)-invariant core of \(H\). Suppose \(K:{\mathcal D}\to {\mathcal B}\) is a dissipative operator satisfying \[ 1.\quad \| Ka\| \leq k_ 0(\| Ha\| \vee \| a\|),\quad a\in {\mathcal D}, \]
Batty, Charles J.K., Robinson, Derek W.
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On noncommutative distributional Khintchine type inequalities
Bulletin of the London Mathematical Society, Volume 56, Issue 7, Page 2278-2295, July 2024.Abstract The purpose of this paper is to provide distributional estimates for the series of the form ∑k=1∞xk⊗rk$\sum _{k=1}^\infty x_k\otimes r_k$ with {xk}k⩾1$\lbrace x_k\rbrace _{k\geqslant 1}$ being elements from noncommutative Lorentz spaces Λlog1/2(M)$\Lambda _{\log ^{1/2}}(\mathcal {M})$ and {rk}k⩾1$\lbrace r_k\rbrace _{k\geqslant 1}$ being ...
Yong Jiao +3 more
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Analytic Extension of Riemannian Analytic Manifolds and Local Isometries
Mathematics, 2020 This article deals with a locally given Riemannian analytic manifold. One of the main tasks is to define its regular analytic extension in order to generalize the notion of completeness.
Vladimir A. Popov
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