%0 Journal Article %T Compact weighted Frobenius-Perron operators and their spectra %J Bulletin of the Iranian Mathematical Society %I Iranian Mathematical Society (IMS) %Z 1017-060X %A Jabbarzadeh, Mohammad Reza %A Emamalipour, Hossain %D 2012 %\ 09/15/2012 %V 38 %N 3 %P 817-826 %! Compact weighted Frobenius-Perron operators and their spectra %K Frobenius-perron operator %K weighted composition operator %K conditional expectation %R %X In this note we characterize the compact weighted Frobenius-Perron operator $p$ on $L^1(Sigma)$ and determine their spectra. We also show that every weakly compact weighted Frobenius-Perron operator on $L^1(Sigma)$ is compact. %U http://bims.iranjournals.ir/article_243_8a0cae2a4c335660f929d5a7e98d80d4.pdf