Results 31 to 40 of about 96 (96)
Manifestly unitary higher Hilbert spaces
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract Higher idempotent completion gives a formal inductive construction of the n$n$‐category of finite‐dimensional n$n$‐vector spaces starting with the complex numbers. We propose a manifestly unitary construction of low‐dimensional higher Hilbert spaces, formally constructing the C∗$\mathrm{C}^*$‐3‐category of 3‐Hilbert spaces from Baez's 2 ...
Quan Chen +4 more
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Journal of Mathematical Sciences, 2007 An amorphic association scheme has the property that any of its fusion is also an association scheme. In this paper we generalize the property to be amorphic to an arbitrary C-algebra and prove that any amorphic C-algebra is determined up to isomorphism by the multiset of its degrees and an additional integer equal 1 or -1.
Ponomarenko, I. N., Rahnamai, Barghi A.
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The Global Glimm Property for C*‐algebras of topological dimension zero
Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.Abstract We show that a C∗$C^*$‐algebra with topological dimension zero has the Global Glimm Property (every hereditary subalgebra contains an almost full nilpotent element) if and only if it is nowhere scattered (no hereditary subalgebra admits a finite‐dimensional representation). This solves the Global Glimm Problem in this setting.
Ping Wong Ng +2 more
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IET Renewable Power Generation, Volume 20, Issue 1, January/December 2026.This paper investigates the stability and damping enhancement of multi‐photovoltaic grid‐forming (PV‐GFM) islanded microgrids under nonuniform irradiance and load disturbances. A supervisory control strategy is developed to adaptively tune the virtual resistance and active‐power‐loop damping parameters based on modal sensitivity, dc‐link margin, and ...
Xuesong Zhang +6 more
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A note on the quasi‐local algebra of expander graphs
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract We show that the quasi‐local algebra of a coarse disjoint union of expander graphs does not contain a Cartan subalgebra isomorphic to ℓ∞$\ell _\infty$. Ozawa has recently shown that these algebras are distinct from the uniform Roe algebras of expander graphs, and our result describes a further difference.
Bruno M. Braga +2 more
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On commutativity of C*-algebras [PDF]
Glasgow Mathematical Journal, 1987 Two numerical characterizations of commutativity for C*-algebra (acting on the Hilbert space H) were given in [1]; one used the norms of self-adjoint operators in (Theorem 2), and the other the numerical index of (Theorem 3). In both cases the proofs were based on the result of Kaplansky which states that if the only nilpotent operator in is 0 ...
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Fixed Point Property for Nonexpansive Mappings and Reflexivity: A Hilbert C∗‐Module Approach
Journal of Function Spaces, Volume 2026, Issue 1, 2026.We prove that for any infinite‐dimensional Hilbert space H, there exists a sequence of infinite‐dimensional, full Hilbert C∗‐modules over K(H)—the C∗‐algebra of compact operators on H—each of which is isomorphic to H and has the fixed point property for nonexpansive mappings (FPP).
Kourosh Nourouzi, Seppo Hassi
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Journal of Functional Analysis, 1988 Let V be a vector space over the complex numbers C and let \(M_ n(V)=V\otimes M_ n(C)\) denote the vector space of \(n\times n\) matrices \([v_{ij}]\) with entries in V. Let \(A[v_{ij}]=[\sum_{k}a_{ik}v_{kj}]\) and \([v_{ij}]A-[\sum a_{kj}v_{ik}]\) for \([v_{ij}]\) in \(M_ n(V)\) and \(A=[a_{ij}]\) in M(C). If \(v\in M_ n(V)\) and \(\omega \in M_ m(V)\)
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On the Definition of C*-algebras
Publications of the Research Institute for Mathematical Sciences, 1973 It is shown that conditions \Vert x y\Vert ≤ \Vert x\Vert \Vert y\Vert and \Vert x^*\Vert= \Vert x\Vert follow from the other axioms for
Huzihiro Araki, George A. Elliott
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A categorical interpretation of continuous orbit equivalence for partial dynamical systems
Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 3637-3656, December 2025.Abstract We define the orbit morphism of partial dynamical systems and prove that an orbit morphism being an isomorphism in the category of partial dynamical systems and orbit morphisms is equivalent to the existence of a continuous orbit equivalence between the given partial dynamical systems that preserves the essential stabilisers. We show that this
Gilles G. de Castro, Eun Ji Kang
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