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Invariant subspaces and the $C_{00}$-property of Brownian Shifts

Published 28 Feb 2025 in math.PR, math.CV, math.FA, and math.OA | (2502.21015v3)

Abstract: We consider the restriction of Brownian shifts to their invariant subspaces and classify when they are unitarily equivalent. Additionally, we prove an asymptotic property stating that normalized Brownian shifts belong to the classical $C_{00}$-class.

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