Invariant subspaces and the C₀₀-property of Brownian Shifts

2025/02/28 by Das, Nilanjan, Das, Soma, Sarkar, Jaydeb · 1 citation
#30H10 #30J05 #46J15 #47B35 #60J65 #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA) #Probability (math.PR)

paper · doi:10.48550/arxiv.2502.21015

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 C₀₀-class.

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• Invariant subspaces of Brownian shifts on vector-valued Hardy spaces

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