Bulletin of the Iranian Mathematical Society

Bulletin of the Iranian Mathematical Society

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.
Keywords
Subjects

Volume 38, Issue 3 - Serial Number 3
September 2012
Pages 817-826

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