<p>We consider a composition operator on some weighted <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\({{\ell}}^{p}\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mrow> <mi>ℓ</mi> </mrow> <mi>p</mi> </msup> </math></EquationSource> </InlineEquation>(λ) spaces and describe some of its basic properties including boundedness, closed range, surjectivity, hypercyclicity, and supercyclicity.</p>

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Hypercyclic and Supercyclic Composition Operator on Some Weighted Sequence Spaces

  • Vijay Kumar Srivastava,
  • Ashish Naudiyal,
  • Harish Chandra

摘要

We consider a composition operator on some weighted \({{\ell}}^{p}\) p (λ) spaces and describe some of its basic properties including boundedness, closed range, surjectivity, hypercyclicity, and supercyclicity.