Naslov
Ergodic characterization of van der Corput sets

Autori
Slijepčević, Siniša ; Ninčević, Marina ; Rabar, Braslav

Izvornik
Archiv der Mathematik (0003-889X) 98 (2012), 4; 355-360

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Van der Corput sets; recurrence; intersectivity; correlativity; Furstenberg correspondence principle

Sažetak
We prove an analogue to the well known equivalence of intersective sets and Poincare-recurrent sets, in a stronger setting. We show that a set D is van der Corput, if and only if for each Hilbert space H, unitary operator U, and $x\in H$ such that the projection of x to the kernel of (U-I) is nonvanishing, there exists $d\in D$, such that $(U^{; ; ; d}; ; ; x, x)\not=0$.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA