Maximal cyclic subspaces for dual integrable representations (CROSBI ID 309384)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
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