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<p>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 <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(C_{00}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>C</mi> <mn>00</mn> </msub> </math></EquationSource> </InlineEquation>-class.</p>

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Invariant subspaces and the \(C_{00}\)-property of Brownian shifts

  • 期刊论文

  • 发表日期：

    2025年7月13日

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  • Nilanjan Das,
  • Soma Das,
  • Jaydeb Sarkar

摘要

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 \(C_{00}\) C 00 -class.