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On the existence of n-isometries on ℓp spaces

2010; Birkhäuser; Volume: 76; Issue: 1-2 Linguagem: Inglês

10.1007/bf03549829

2064-8316

Fernanda Botelho,

Advanced Operator Algebra Research

In this paper we consider the notion of n-isometry on a Banach space. We determine the existence of non-isometric 2-isometries for the classes of weighted shifts and composition operators on ℓp spaces. We also address similar questions for weighted composition operators acting on the space of scalar valued continuous functions, defined on a compact Hausdorff topological space.