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Maximal cyclic subspaces for dual integrable representations (CROSBI ID 309384)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Šikić, Hrvoje ; Slamić, Ivana Maximal cyclic subspaces for dual integrable representations // Journal of mathematical analysis and applications, 511 (2022), 1; 126071, 25. doi: 10.1016/j.jmaa.2022.126071

Podaci o odgovornosti

Šikić, Hrvoje ; Slamić, Ivana

engleski

Maximal cyclic subspaces for dual integrable representations

Consider a unitary dual integrable representation Π of an LCA group G on a separable Hilbert space H. In this paper, we provide answers to several questions, centered around the notion of maximal cyclic subspaces. Specifically, we describe the structure of dual integrable triples (G, Π, H) which allow a decomposition of H into an orthogonal sum of n maximal cyclic subspaces, particularly emphasizing the case when n = 1. Furthermore, we analyze how the questions concerning maximality are reflected in redundancy and basis related properties of the generating orbit.

maximal cyclic subspace ; unitary representation ; bracket function ; Helson map ; locally compact abelian group

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Podaci o izdanju

511 (1)

2022.

126071

25

objavljeno

0022-247X

1096-0813

10.1016/j.jmaa.2022.126071

Povezanost rada

Matematika

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