On a joint $(m, (q_1, ..., q_d))$-partial isometries and a joint $m$-invertible $d$-tuple of operators on a Hilbert space

Ould Ahmed Mahmoud Sid Ahmed

paper

On a joint $(m, (q_{1}, ..., q_{d}))$ -partial isometries and a joint $m$ -invertible $d$ -tuple of operators on a Hilbert space

arXiv:1602.08485

Abstract

The aim of the present paper is, firstly we study the concepts of (m, (q_1, ..., q_d))- partial isometries on a Hilbert space, secondly, we introduce the notion of m- invertibility of tuples of operators as a natural generalization of the m-invertibility in single variable operators.

On a joint (m,(q1​,...,qd​))-partial isometries and a joint m-invertible d-tuple of operators on a Hilbert space

Abstract

On a joint $(m, (q_{1}, ..., q_{d}))$ -partial isometries and a joint $m$ -invertible $d$ -tuple of operators on a Hilbert space