• 제목/요약/키워드: Hilbert-Schmidt interpolation problem

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HILBERT-SCHMIDT INTERPOLATION FOR OPERATORS IN TRIDIAGONAL ALGEBRAS

  • Kang, Joo-Ho;Kim, Ki-Sook
    • Journal of applied mathematics & informatics
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    • 제10권1_2호
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    • pp.227-233
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    • 2002
  • Given operators X and Y acting on a Hilbert space H, an interpolating operator is a bounded operator A such that AX = Y. An interpolating operator for n-operators satisfies the equation AX$\sub$i/=Y$\sub$i/, for i=1,2, ‥‥, R. In this article, we investigate Hilbert-Schmidt interpolation for operators in tridiagonal algebras.