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Compact weighted Frobenius-Perron operators and their spectra

Article 56, Volume 38, Number 3, September 2012, Page 817-826  XML PDF (291 K)
Document Type: Research Paper
Authors
1Mohammad Reza Jabbarzadeh ; 2Hossain Emamalipour
1faculty of mathematical sciences, university of tabriz
2faculty of mathematical sciences, university of tabriz, p. o. box: 51664
Abstract
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.
Keywords
Frobenius-perron operator; weighted composition operator; conditional expectation
Main Subjects
47-XX Operator theory
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