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arXiv · 2606.12865

On $m$-partial isometries: spectra, weighted shifts, and similarity

Mohamed Amine Aouichaoui·Michał Buchała·Stephan Ramon Garcia
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Abstract

The aim of this paper is to study $m$-partial isometries on Hilbert spaces, a natural extension of partial isometries and $m$-isometries. We establish structural and spectral results, characterize the $m$-partial isometric weighted shifts, and investigate similarity to $m$-isometries and $m$-partial isometries.

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Mohamed Amine Aouichaoui, Michał Buchała, Stephan Ramon Garcia. 2026-06-11. On $m$-partial isometries: spectra, weighted shifts, and similarity. https://arxiv.org/abs/2606.12865

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