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

Abstract

The aim of the present paper is, firstly we study the concepts of (m, (q1, ..., qd))- 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.

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