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(n1,...,np)-quasi-m-isometric commuting tuple of operators on a Hilbert space
Journal article   Peer reviewed

(n1,...,np)-quasi-m-isometric commuting tuple of operators on a Hilbert space

Muneo Cho, El Moctar Ould Beiba and Sid Ahmed Ould Ahmed Mahmoud
Annals of functional analysis, Vol.12(1)
01/01/2021
DOI: https://doi.org/10.1007/s43034-020-00093-7

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
Our aim in this paper is to consider a generalization of the concept ofn-quasi-m-isometric operators of a single operator done in Mahmoud Sid Ahmed et al. (Results Math 73:511-531, 2018) and Mechri and Mahmoud Sid Ahmed (Oper Matrices 14(1): 145-157, 2020) to the multi-dimensional operators. We discuss the most interesting results concerning these classes of tuples of operators by extending some results obtained in several recent papers for a single operator.

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