ON THE COINCIDENCE OF THE SPECTRA OF RANDOM ELLIPTIC OPERATORS
Serguei M. Kozlov, Mikhail Aleksandrovich Shubin · Mathematics of the USSR-Sbornik · 1985
A random elliptic operator of positive order is considered, whose coefficients are realizations of a homogeneous random field on given by a dynamical system satisfying an aperiodicity condition indicating the absence of nontrivial periods of the corresponding unitary group. For such an operator, the coincidence of its spectra in and in the Hilbert space of homogeneous random fields is proved.Bibliography: 21 titles.