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<p>We present the notion of nearly dual compressed shift-invariant subspaces of the orthogonal complement of the model space in <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(L^2\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>L</mi> <mn>2</mn> </msup> </math></EquationSource> </InlineEquation> and obtain their structure using the celebrated Hitt-Sarason algorithm [<CitationRef CitationID="CR18">18</CitationRef>, <CitationRef CitationID="CR25">25</CitationRef>].</p>

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Near Invariance of the Dual Compressed Shift

  • 期刊论文

  • 发表日期：

    2026年8月3日

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  • Arup Chattopadhyay,
  • Supratim Jana

摘要

We present the notion of nearly dual compressed shift-invariant subspaces of the orthogonal complement of the model space in \(L^2\) L 2 and obtain their structure using the celebrated Hitt-Sarason algorithm [18, 25].