Title of article :
COMPACT WEIGHTED FROBENIUS-PERRON OPERATORS AND THEIR SPECTRA
Author/Authors :
Jabbarzadeh, M. R. university of tabriz - Faculty of Mathematical Sciences, تبريز, ايران , Emamalipour, H. university of tabriz - Faculty of Mathematical Sciences, تبريز, ايران
Abstract :
In this paper we characterize the compact weighted Frobenius - Perron operator P^u_φ on L^1(Σ) and determine its spectra. Also, it is shown that every weakly compact weighted Frobenius-Perron operator on L^1(Σ) is compact.
Keywords :
Frobenius , perron operator , weighted composition operator , conditional expectation
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
