A spectral condition for strong convergence of Markov operators

Michael Lin; Robert Sine

doi:10.1007/BF00533248

A spectral condition for strong convergence of Markov operators

Michael Lin, Robert Sine

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

If P is a conservative Markov operator on L₁(m) with no unimodular spectral points except 1, then ∥u(I-P)Pⁿ∥₁→0 for every u∈L₁.

Original language	English
Pages (from-to)	27-29
Number of pages	3
Journal	Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
Volume	47
Issue number	1
DOIs	https://doi.org/10.1007/BF00533248
State	Published - 1 Jan 1979

ASJC Scopus subject areas

Analysis
Statistics and Probability
General Mathematics

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abstract = "If P is a conservative Markov operator on L1(m) with no unimodular spectral points except 1, then ∥u(I-P)Pn∥1→0 for every u∈L1.",

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A spectral condition for strong convergence of Markov operators

Abstract

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