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arXiv · 2502.21015

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

Nilanjan Das·Soma Das·Jaydeb Sarkar
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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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Nilanjan Das, Soma Das, Jaydeb Sarkar. 2025-02-28. Invariant subspaces and the $C_{00}$-property of Brownian Shifts. https://doi.org/10.1007/s10231-025-01596-7

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