# Compact weighted Frobenius-Perron operators and their spectra

Document Type : Research Paper

Authors

1 faculty of mathematical sciences, university of tabriz

2 faculty 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.

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Main Subjects

### History

• Receive Date: 14 January 2010
• Revise Date: 13 November 2010
• Accept Date: 13 November 2010