HILBERT-SCHMIDT INTERPOLATION FOR OPERATORS IN TRIDIAGONAL ALGEBRAS

  • Kang, Joo-Ho (Department of Mathematics, Taegu University) ;
  • Kim, Ki-Sook (Department of Mathematics, Taegu University)
  • Published : 2002.09.01

Abstract

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.

Keywords

References

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