Invariant subspaces of Brownian shifts on vector-valued Hardy spaces

2025/07/29 by Das, Nilanjan, Das, Soma, Sarkar, Jaydeb
#30H10 #30J05 #46J15 #47A15 #60J65 #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA) #Probability (math.PR)

paper · doi:10.48550/arxiv.2507.21818

Abstract

We characterize invariant subspaces of Brownian shifts on vector-valued Hardy spaces. We also solve the unitary equivalence problem for the invariant subspaces of these shifts.

Citations

• Invariant subspaces and the C₀₀-property of Brownian Shifts
• Convergence of power sequences of B-operators with applications to stability
• m-isometric operators and their local properties
• Hilbert space operators with two-isometric dilations
• Variations on a theme of Beurling
• On unitarily equivalent submodules
• On two problems concerning linear transformations in hilbert space

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• Invariant subspaces of compressions of the Hardy shift on some parametric spaces