(p,H)-factorable operators on $L^{p}(G)$ for non-abelian groups

Authors

  • Fatemeh ‎Roohi Afrapoli‎
  • Rajab Ali Kamyabi Gol Ferdowsi University of Mashhad
  • Fatemeh Esmaeelzadeh Islamic Azad University

DOI:

https://doi.org/10.30495/jme.v18i0.3049

Keywords:

$(p‎, ‎H )$-bracket product‎, ‎$H $-orthogonality‎, ‎$(p, H) $-factorable operator‎, ‎Riesz representation type theorem‎, ‎semi-inner product.

Abstract

For a locally compact group $G$ and a closed subgroup $H$ of $G$, we define the $(p, H)$-bracket product, which serves as a type of semi-inner product for $L^{p}(G)$. We proceed to investigate some of its properties. Additionally, we delve into the study of $(p, H)$-factorable operators and indicate the Riesz representation type theorem for this product, among other things.

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Published

2024-12-21

Issue

Vol. 18

Section

Vol. 18, No. 12, (2024)

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