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<p>In this paper, the notion of compression of <i>k</i>th order slant Hankel operator to model space is introduced. Also, we show a connection between compression of <i>k</i>th order slant Toeplitz operators and that of Hankel operators. Using these connections, we provide various characterizations for an operator to be of this type. In addition, we characterize these operators in terms of operators of rank at most <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(k+1\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>k</mi> <mo>+</mo> <mn>1</mn> </mrow> </math></EquationSource> </InlineEquation>.</p>

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Compression of kth order slant Hankel operators to model spaces

  • 期刊论文

  • 发表日期：

    2026年2月13日

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  • Gopal Datt,
  • Mohammad Rehan Ansari,
  • Bhawna Bansal Gupta

摘要

In this paper, the notion of compression of kth order slant Hankel operator to model space is introduced. Also, we show a connection between compression of kth order slant Toeplitz operators and that of Hankel operators. Using these connections, we provide various characterizations for an operator to be of this type. In addition, we characterize these operators in terms of operators of rank at most \(k+1\) k + 1 .