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

2016/02/26 by Ahmed, Ould Ahmed Mahmoud Sid
#FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA) #Primary: 17A13. Secondary: 47A16

paper · doi:10.48550/arxiv.1602.08485

Abstract

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

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