Toral $(m,C)$-isometric multivariable operators
Year: 2025
Type: article
Abstract: In recent years, various aspects of the problem related to the generalization of the class of m-isometries of commuting tuples of operators in Hilbert spaces have appeared in the literature. Let us mention, for example, $(n_{1},\ldots ,n_{p})$ ( n 1 , … , n p ) -quasi-m-isometric tuples, $(m,C)$ ( m , C ) -isometric tuples, toral m-isometries, and toral $(m, A)$ ( m , A ) -isometries. In this paper, we discuss a problem closely related to this one. We introduce the class of toral- $(m,C)$ ( m , C ) -isometries for a tuple of commuting operators related to a given conjugation operator C on a Hilbert space H. We present its basic properties and demonstrate a variety of results that extend some works related to multivariable operators.
Authors: Sid Ahmed Ould Ahmed Mahmoud, Abdulrahman Obaid Alshammari, El Moctar Ould Beiba, Maawiya Ould Sidi, Hadi Obaid Alshammari, Sid Ahmed Ould Beinane
Institutions: Jouf University, Université de Nouakchott
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,190
OpenAlex ID: W4408952195