Weighted ergodic theorems for Banach-Kantorovich lattice Lp(∇̂, μ̂)

Inomjon Ganiev; Farrukh Mukhamedov

doi:10.1134/S1995080212040087

Weighted ergodic theorems for Banach-Kantorovich lattice L_p(∇̂, μ̂)

Inomjon Ganiev, Farrukh Mukhamedov

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

5 Citations (Scopus)

Abstract

In the present paper we prove weighted ergodic theorems and multiparameter weighted ergodic theorems for positive contractions acting on L_p(∇̂, μ̂). Our main tool is the use of methods of measurable bundles of Banach-Kantorovich lattices.

Original language	English
Pages (from-to)	1-10
Number of pages	10
Journal	Lobachevskii Journal of Mathematics
Volume	34
Issue number	1
DOIs	https://doi.org/10.1134/S1995080212040087
Publication status	Published - Jan 2013
Externally published	Yes

Keywords

Banach-Kantorovich lattice
positive contraction
weighted ergodic theorem

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1134/S1995080212040087

Cite this

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title = "Weighted ergodic theorems for Banach-Kantorovich lattice Lp({\^∇}, {\^μ})",

abstract = "In the present paper we prove weighted ergodic theorems and multiparameter weighted ergodic theorems for positive contractions acting on Lp({\^∇}, {\^μ}). Our main tool is the use of methods of measurable bundles of Banach-Kantorovich lattices.",

keywords = "Banach-Kantorovich lattice, positive contraction, weighted ergodic theorem",

author = "Inomjon Ganiev and Farrukh Mukhamedov",

note = "Funding Information: The first author acknowledges the IIUM-RMC through project EDW B 11-185-0663. The second author acknowledges the MOHE Grant FRGS11-022-0170. He also thanks the Junior Associate scheme of the Abdus Salam International Centre for Theoretical Physics, Trieste, Italy.",

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AB - In the present paper we prove weighted ergodic theorems and multiparameter weighted ergodic theorems for positive contractions acting on Lp(∇̂, μ̂). Our main tool is the use of methods of measurable bundles of Banach-Kantorovich lattices.

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KW - positive contraction

KW - weighted ergodic theorem

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