Weighted Frobenius-Perron operators and their spectra

چکیده مقاله

First, some classic properties of a weighted Frobenius-Perron operator Pu
'
on L
1() as a predual of weighted Koopman operator W = uU' on L1() will be investi-
gated using the language of the conditional expectation operator. Also, we determine the
spectrum of Pu
' under certain conditions.