Weighted Frobenius-Perron operators and their spectra

Mohammad Reza Jabbarzadeh; Rana Hajipouri

Mathematica Bohemica (2017)

  • Volume: 142, Issue: 2, page 113-124
  • ISSN: 0862-7959

Abstract

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First, some classic properties of a weighted Frobenius-Perron operator 𝒫 ϕ u on L 1 ( Σ ) as a predual of weighted Koopman operator W = u U ϕ on L ∞ ( Σ ) will be investigated using the language of the conditional expectation operator. Also, we determine the spectrum of 𝒫 ϕ u under certain conditions.

How to cite

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Jabbarzadeh, Mohammad Reza, and Hajipouri, Rana. "Weighted Frobenius-Perron operators and their spectra." Mathematica Bohemica 142.2 (2017): 113-124. <http://eudml.org/doc/288106>.

@article{Jabbarzadeh2017,
abstract = {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.},
author = {Jabbarzadeh, Mohammad Reza, Hajipouri, Rana},
journal = {Mathematica Bohemica},
keywords = {Frobenius-Perron operator; Fredholm operator; spectrum},
language = {eng},
number = {2},
pages = {113-124},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Weighted Frobenius-Perron operators and their spectra},
url = {http://eudml.org/doc/288106},
volume = {142},
year = {2017},
}

TY - JOUR
AU - Jabbarzadeh, Mohammad Reza
AU - Hajipouri, Rana
TI - Weighted Frobenius-Perron operators and their spectra
JO - Mathematica Bohemica
PY - 2017
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 142
IS - 2
SP - 113
EP - 124
AB - 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.
LA - eng
KW - Frobenius-Perron operator; Fredholm operator; spectrum
UR - http://eudml.org/doc/288106
ER -

References

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