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Hilbert Space Fragmentation and Commutant Algebras
Physical Review X, 2022 We study the phenomenon of Hilbert space fragmentation in isolated Hamiltonian and Floquet quantum systems using the language of commutant algebras, the algebra of all operators that commute with each local term that appears in the Hamiltonian or each ...
Sanjay Moudgalya, Olexei I. Motrunich
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Quantum scrambling of observable algebras [PDF]
Quantum, 2022 In this paper we describe an algebraic/geometrical approach to quantum scrambling. Generalized quantum subsystems are described by an hermitian-closed unital subalgebra $\cal A$ of operators evolving through a unitary channel.
Paolo Zanardi
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Fréchet differential of a power series in Banach algebras [PDF]
Opuscula Mathematica, 2010 We present two new forms in which the Fréchet differential of a power series in a unitary Banach algebra can be expressed in terms of absolutely convergent series involving the commutant \(C(T) : A \mapsto [A,T]\).
Benedetto Silvestri
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Commutativity and ideals in category crossed products; pp. 338–346 [PDF]
Proceedings of the Estonian Academy of Sciences, 2010 In order to simultaneously generalize matrix rings and group graded crossed products, we introduce category crossed products. For such algebras we describe the centre and the commutant of the coefficient ring.
Johan Öinert, Patrik Lundström
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Centralizers of the infinite symmetric group [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 We review and introduce several approaches to the study of centralizer algebras of the infinite symmetric group $S_{\infty}$. Our work is led by the double commutant relationship between finite symmetric groups and partition algebras; in the case of $S_{\
Zajj Daugherty, Peter Herbrich
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Journal of Function Spaces, 2022 In this paper, we completely characterize the reducing subspaces for Tφa on weighted Hardy space ℋω2D2 under three assumptions on ω, where φa=zk+az¯l, k,l∈ℕ2, k≠l, and a∈0,1.
Changguo Wei, Xin Ding, Yanyue Shi
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Characterizations of Double Commutant Property on BH
Journal of Function Spaces, 2021 Let H be a complex Hilbert space. Denote by BH the algebra of all bounded linear operators on H. In this paper, we investigate the non-self-adjoint subalgebras of BH of the form T+B, where B is a block-closed bimodule over a masa and T is a subalgebra of
Chaoqun Chen +3 more
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Semiautomorphic Inverse Property Loops [PDF]
, 2015 We define a variety of loops called semiautomorphic, inverse property loops that generalize Moufang and Steiner loops. We first show an equivalence between a previously studied variety of loops.
Greer, Mark
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Universal elements of unitriangular matrices groups
Қарағанды университетінің хабаршысы. Математика сериясы, 2017 The following theorems are proved for a matrix g from the group of unitriangular matrices over a commutative and associative ring K of finite dimension of greater than three with unity: 1) if the matrix g is universal then all of its elements are on the
A.A. Konyrkhanova, N.G. Khisamiev
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Multi-Frame Vectors for Unitary Systems in Hilbert $C^{*}$-modules [PDF]
Sahand Communications in Mathematical Analysis, 2019 In this paper, we focus on the structured multi-frame vectors in Hilbert $C^*$-modules. More precisely, it will be shown that the set of all complete multi-frame vectors for a unitary system can be parameterized by the set of all surjective operators, in
Mohammad Mahmoudieh +2 more
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