Pregled bibliografske jedinice broj: 1193514
Maximal cyclic subspaces for dual integrable representations
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 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1193514 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Maximal cyclic subspaces for dual integrable
representations
Autori
Šikić, Hrvoje ; Slamić, Ivana
Izvornik
Journal of mathematical analysis and applications (0022-247X) 511
(2022), 1;
126071, 25
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
maximal cyclic subspace ; unitary representation ; bracket function ; Helson map ; locally compact abelian group
Sažetak
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.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
NadSve-Sveučilište u Rijeci-uniri-prirod-18-9 - Metode matematičke analize u teorijskoj i primjenjenoj matematici (Dragičević, Davor, NadSve - UNIRI PROJEKTI 2018) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb,
Sveučilište u Rijeci, Fakultet za matematiku
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
