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

arxiv: 1602.08485 · v1 · pith:7V2W5PKAnew · submitted 2016-02-26 · 🧮 math.FA · math.OA

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

Ould Ahmed Mahmoud Sid Ahmed This is my paper

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keywords operatorshilbertisometriesjointpartialspaceconceptsfirstly

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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.

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

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