TY - JOUR ID - 243 TI - Compact weighted Frobenius-Perron operators and their spectra JO - Bulletin of the Iranian Mathematical Society JA - BIMS LA - en SN - 1017-060X AU - Jabbarzadeh, Mohammad Reza AU - Emamalipour, Hossain AD - faculty of mathematical sciences, university of tabriz AD - faculty of mathematical sciences, university of tabriz, p. o. box: 51664 Y1 - 2012 PY - 2012 VL - 38 IS - 3 SP - 817 EP - 826 KW - Frobenius-perron operator KW - weighted composition operator KW - conditional expectation DO - N2 - 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. UR - http://bims.iranjournals.ir/article_243.html L1 - http://bims.iranjournals.ir/article_243_8a0cae2a4c335660f929d5a7e98d80d4.pdf ER -