Ergodic theorems of weak mixing type

Lee K. Jones; Michael Lin

doi:10.1090/S0002-9939-1976-0405134-X

Ergodic theorems of weak mixing type

Lee K. Jones, Michael Lin

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

19 Scopus citations

Abstract

Given a linear contraction T on a Banach space X and x є X, the convergence formula is presented. Is shown to be equivalent to the convergence formula is presented. For every subsequence with kj/j bounded. A sufficient condition is that, for some (ni,), Tⁿⁱx ⇾ 0 weakly.

Original language	English
Pages (from-to)	50-52
Number of pages	3
Journal	Proceedings of the American Mathematical Society
Volume	57
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9939-1976-0405134-X
State	Published - 1 Jan 1976
Externally published	Yes

Keywords

Ergodic theorems
Weak mixing

ASJC Scopus subject areas

Mathematics (all)
Applied Mathematics

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10.1090/S0002-9939-1976-0405134-X

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title = "Ergodic theorems of weak mixing type",

abstract = "Given a linear contraction T on a Banach space X and x є X, the convergence formula is presented. Is shown to be equivalent to the convergence formula is presented. For every subsequence with kj/j bounded. A sufficient condition is that, for some (ni,), Tnix ⇾ 0 weakly.",

keywords = "Ergodic theorems, Weak mixing",

author = "Jones, {Lee K.} and Michael Lin",

year = "1976",

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doi = "10.1090/S0002-9939-1976-0405134-X",

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T1 - Ergodic theorems of weak mixing type

AU - Jones, Lee K.

AU - Lin, Michael

PY - 1976/1/1

Y1 - 1976/1/1

N2 - Given a linear contraction T on a Banach space X and x є X, the convergence formula is presented. Is shown to be equivalent to the convergence formula is presented. For every subsequence with kj/j bounded. A sufficient condition is that, for some (ni,), Tnix ⇾ 0 weakly.

AB - Given a linear contraction T on a Banach space X and x є X, the convergence formula is presented. Is shown to be equivalent to the convergence formula is presented. For every subsequence with kj/j bounded. A sufficient condition is that, for some (ni,), Tnix ⇾ 0 weakly.

KW - Ergodic theorems

KW - Weak mixing

UR - http://www.scopus.com/inward/record.url?scp=84968514052&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-1976-0405134-X

DO - 10.1090/S0002-9939-1976-0405134-X

M3 - Article

AN - SCOPUS:84968514052

SN - 0002-9939

VL - 57

SP - 50

EP - 52

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 1

ER -

Ergodic theorems of weak mixing type

Abstract

Keywords

ASJC Scopus subject areas

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