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
Mathematics (all)

Access to Document

10.1007/BF00533248

Cite this

@article{e86263f2e28a47b3af0fced66b1bded7,

title = "A spectral condition for strong convergence of Markov operators",

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.",

author = "Michael Lin and Robert Sine",

year = "1979",

month = jan,

day = "1",

doi = "10.1007/BF00533248",

language = "English",

volume = "47",

pages = "27--29",

journal = "Zeitschrift f{\"u}r Wahrscheinlichkeitstheorie und Verwandte Gebiete",

issn = "0044-3719",

publisher = "Springer New York",

number = "1",

}

TY - JOUR

T1 - A spectral condition for strong convergence of Markov operators

AU - Lin, Michael

AU - Sine, Robert

PY - 1979/1/1

Y1 - 1979/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=34250266634&partnerID=8YFLogxK

U2 - 10.1007/BF00533248

DO - 10.1007/BF00533248

M3 - Article

AN - SCOPUS:34250266634

SN - 0044-3719

VL - 47

SP - 27

EP - 29

JO - Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete

JF - Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete

IS - 1

ER -

A spectral condition for strong convergence of Markov operators

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this