Rank and spectral multiplicity
Volume 102 / 1992
Studia Mathematica 102 (1992), 121-144
DOI: 10.4064/sm-102-2-121-144
Abstract
For a dynamical system (X,T,μ), we investigate the connections between a metric invariant, the rank r(T), and a spectral invariant, the maximal multiplicity m(T). We build examples of systems for which the pair (m(T),r(T)) takes values (m,m) for any integer m ≥ 1 or (p-1, p) for any prime number p ≥ 3.
