On invariant measures and ergodic theorems for positive operators

Yves Derriennic; Michael Lin

doi:10.1016/0022-1236(73)90034-7

On invariant measures and ergodic theorems for positive operators

Yves Derriennic
, Michael Lin

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

34 Scopus citations

Abstract

Ergodic theorems and the existence of a finite invariant measure are investigated for a positive linear operator T on L₁ of a σ-finite measure satisfying sup_{N ≥ 1}∥N^-1 Σ_{n = 0}^{N - 1} Tⁿ∥< ∞.

Original language	English
Pages (from-to)	252-267
Number of pages	16
Journal	Journal of Functional Analysis
Volume	13
Issue number	3
DOIs	https://doi.org/10.1016/0022-1236(73)90034-7
State	Published - 1 Jan 1973
Externally published	Yes

ASJC Scopus subject areas

Analysis

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10.1016/0022-1236(73)90034-7

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title = "On invariant measures and ergodic theorems for positive operators",

abstract = "Ergodic theorems and the existence of a finite invariant measure are investigated for a positive linear operator T on L1 of a σ-finite measure satisfying supN ≥ 1∥N-1 Σn = 0N - 1 Tn∥< ∞.",

author = "Yves Derriennic and Michael Lin",

year = "1973",

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doi = "10.1016/0022-1236(73)90034-7",

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journal = "Journal of Functional Analysis",

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AU - Derriennic, Yves

AU - Lin, Michael

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Y1 - 1973/1/1

N2 - Ergodic theorems and the existence of a finite invariant measure are investigated for a positive linear operator T on L1 of a σ-finite measure satisfying supN ≥ 1∥N-1 Σn = 0N - 1 Tn∥< ∞.

AB - Ergodic theorems and the existence of a finite invariant measure are investigated for a positive linear operator T on L1 of a σ-finite measure satisfying supN ≥ 1∥N-1 Σn = 0N - 1 Tn∥< ∞.

UR - https://www.scopus.com/pages/publications/0013546751

U2 - 10.1016/0022-1236(73)90034-7

DO - 10.1016/0022-1236(73)90034-7

M3 - Article

AN - SCOPUS:0013546751

SN - 0022-1236

VL - 13

SP - 252

EP - 267

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 3

ER -

On invariant measures and ergodic theorems for positive operators

Abstract

ASJC Scopus subject areas

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