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Almost uniform convergence in noncommuta...

Litvinov, Semyon...

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Almost uniform convergence in noncommutative Dunford-Schwartz ergodic theorem by Litvinov, Semyon ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	08-08-2023
Summary	This article gives an affirmative solution to the problem whether the ergodic Ces\'aro averages generated by a positive Dunford-Schwartz operator in a noncommutative space $L^p(\mathcal M,\tau)$, $1\leq p<\infty$, converge almost uniformly (in Egorov's sense). This problem goes back to the original paper of Yeadon, published in 1977, where bilaterally almost uniform convergence of these averages was established for $p=1$.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1606.04501

Citation

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AMA 11th EditionReferences

Litvinov, Semyon. Almost uniform convergence in noncommutative Dunford-Schwartz ergodic theorem. Australian National University. August 08, 2023. Accessed October 02, 2025. https://online.provdatabase.com/cite/13188

APA 7th EditionReferences

Litvinov, Semyon. (2023). Almost uniform convergence in noncommutative Dunford-Schwartz ergodic theorem. Australian National University. https://online.provdatabase.com/cite/13188

Chicago 17th EditionReferences

Litvinov, Semyon. Almost uniform convergence in noncommutative Dunford-Schwartz ergodic theorem. Australian National University. 2023. https://online.provdatabase.com/cite/13188

HarvardReferences

Litvinov, Semyon. (2023). Almost uniform convergence in noncommutative Dunford-Schwartz ergodic theorem. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/13188. (Accessed 02 October 2025).

Harvard AustraliaReferences

Litvinov, Semyon, 2023, Almost uniform convergence in noncommutative Dunford-Schwartz ergodic theorem, Australian National University, viewed 02 October 2025, <https://online.provdatabase.com/cite/13188>

MLA 9th EditionWorks Cited

Litvinov, Semyon. Almost uniform convergence in noncommutative Dunford-Schwartz ergodic theorem. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/13188.

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