Topological Centers Induced by L¹(G)^**-Module Actions

Authors

Seyedeh Somayeh Jafari Department of Mathematics, Payame Noor University, P. O. Box 19395-4697, Tehran, Iran https://orcid.org/0000-0003-1422-0074 (unauthenticated)
Younes Zohrevand Department of Mathematics, Tuyserkan Branch, Islamic Azad University, Tuyserkan, Iran https://orcid.org/0000-0002-4756-2444 (unauthenticated)

DOI:

https://doi.org/10.37256/cm.5320243613

Keywords:

locally compact group, module action, topological center, unitary representation

Abstract

Let (π, H) be a unitary representation of a locally compact group G. Recent works on some topological centers induced by π have studied. This paper continues the investigation in this regard. The new topological center induced by the module action related to π, which lies between L¹(G) and the second dual L¹(G)^∗∗, is studied. As well, some unitary representations are presented whose topological centers in our sense are L¹(G), L¹(G)^∗∗, or neither.

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Published

2024-08-07

Issue

Contemporary Mathematics, Volume 5 Issue 3 (2024), 2593-4131

Section

Research Article

License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Topological Centers Induced by L1(G)**-Module Actions. Contemp. Math. [Internet]. 2024 Aug. 7 [cited 2025 Dec. 24];5(3):2933-9. Available from: https://ojs353.mebyme.cn/index.php/CM/article/view/3613

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