Geodesic
Weighted Frobenius-Perron operators and their spectra
Mathematica Bohemica, Tome 142 (2017) no. 2, pp. 113-124 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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First, some classic properties of a weighted Frobenius-Perron operator $\mathcal {P}_\varphi ^u$ on $L^1(\Sigma )$ as a predual of weighted Koopman operator $W=uU_\varphi $ on $L^\infty (\Sigma )$ will be investigated using the language of the conditional expectation operator. Also, we determine the spectrum of $\mathcal {P}_\varphi ^u$ under certain conditions.
First, some classic properties of a weighted Frobenius-Perron operator $\mathcal {P}_\varphi ^u$ on $L^1(\Sigma )$ as a predual of weighted Koopman operator $W=uU_\varphi $ on $L^\infty (\Sigma )$ will be investigated using the language of the conditional expectation operator. Also, we determine the spectrum of $\mathcal {P}_\varphi ^u$ under certain conditions.
DOI : 10.21136/MB.2016.0079-15
Classification : 11Y50, 47A10, 47B20, 47B38
Keywords: Frobenius-Perron operator; Fredholm operator; spectrum 
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Jabbarzadeh, Mohammad Reza; Hajipouri, Rana. Weighted Frobenius-Perron operators and their spectra. Mathematica Bohemica, Tome 142 (2017) no. 2, pp. 113-124. doi: 10.21136/MB.2016.0079-15

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