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arXiv · 1703.03506

Structure theorems for star-commuting power partial isometries

Astrid an Huef·Iain Raeburn·Ilija Tolich
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Abstract

We give a new formulation and proof of a theorem of Halmos and Wallen on the structure of power partial isometries on Hilbert space. We then use this theorem to give a structure theorem for a finite set of partial isometries which star-commute: each operator commutes with the others and with their adjoints.

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Astrid an Huef, Iain Raeburn, Ilija Tolich. 2017-03-10. Structure theorems for star-commuting power partial isometries. https://arxiv.org/abs/1703.03506

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