Structure theorems for star-commuting power partial isometries

Published 10 Mar 2017 in math.FA and math.OA | (1703.03506v1)

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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