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Invariant subspaces with no generator and a problem of H. Helson [PDF]
, 2015 In the almost periodic context, any $H_0^2-$space cannot be generated by one of its elements. Together with cocycle argument, this derives that there exist all kinds of invariant subspaces without single generator, from which we can answer some questions
Tanaka, Jun-ichi
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Constrained characteristic functions, multivariable interpolation, and invariant subspaces
Journal of Inequalities and Applications, 2020 In this paper, we present a functional model theorem for completely non-coisometric n-tuples of operators in the noncommutative variety V f , Ο , I ( H ) $\mathcal{V}_{f,\varphi,\mathcal{I}}(\mathcal{H})$ in terms of constrained characteristic functions.
Jian Hu, Maofa Wang, Wei Wang
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Generalized π(πΆ,π΄,π΅)-Pairs for Uncertain Linear Infinite-Dimensional Systems
Journal of Applied Mathematics, 2009 We introduce the concept of generalized π(πΆ,π΄,π΅)-pairs which is related to generalized π(π΄,π΅)-invariant subspaces and generalized π(πΆ,π΄)-invariant subspaces for infinite-dimensional systems.
Naohisa Otsuka, Haruo Hinata
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Monomial codes seen as invariant subspaces
Open Mathematics, 2017 It is well known that cyclic codes are very useful because of their applications, since they are not computationally expensive and encoding can be easily implemented. The relationship between cyclic codes and invariant subspaces is also well known.
GarcΓa-Planas MarΓa Isabel +2 more
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CP symmetry and symplectic modular invariance
SciPost Physics, 2021 We analyze CP symmetry in symplectic modular-invariant supersymmetric theories. We show that for genus $g\ge 3$ the definition of CP is unique, while two independent possibilities are allowed when $g\le 2$.
Gui-Jun Ding, Ferruccio Feruglio, Xiang-Gan Liu
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Fundamental Agler Decompositions
, 2012 We use shift-invariant subspaces of the Hardy space on the bidisk to provide an elementary proof of the Agler Decomposition Theorem. We observe that these shift-invariant subspaces are specific cases of Hilbert spaces that can be defined from Agler ...
Bickel, Kelly
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A refined invariant subspace method and applications to evolution equations
, 2012 The invariant subspace method is refined to present more unity and more diversity of exact solutions to evolution equations. The key idea is to take subspaces of solutions to linear ordinary differential equations as invariant subspaces that evolution ...
A. S. Fokas +28 more
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Automated detection of symmetry-protected subspaces in quantum simulations
Physical Review Research, 2023 The analysis of symmetry in quantum systems is of utmost theoretical importance, useful in a variety of applications and experimental settings, and difficult to accomplish in general. Symmetries imply conservation laws, which partition Hilbert space into
Caleb Rotello +3 more
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Flows in Infinite-Dimensional Phase Space Equipped with a Finitely-Additive Invariant Measure
Mathematics, 2023 Finitely-additive measures invariant to the action of some groups on a separable infinitedimensional real Hilbert space are constructed. The invariantness of a measure is studied with respect to the group of shifts on a vector of Hilbert space, the ...
Vsevolod Zh. Sakbaev
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Certain invariant subspaces for operators with rich eigenvalues
International Journal of Mathematics and Mathematical Sciences, 1991 For a connected open subset Ξ© of the plane and n a positive integer, let Bn(Ξ©) be the space introduced by Cowen and Douglas. In this article we study the spectrum of restrictions of T in order to obtain more information about the invariant subspaces of T.
Karim Seddighi
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