Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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INVERTIBLE INTERPOLATION PROBLEMS IN CSL-ALGEBRA ALGL

  • Jo, Young-Soo (Department of Mathematics, Keimyung University) ;
  • Kang, Joo-Ho (Department of Mathematics, Taegu University)
  • Published : 2003.05.01

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Abstract

Given vectors x and y in a Hilbert space, an interpolating operator is a bounded operator T such that Tx = y. In this article, we investigate invertible interpolation problems in CSL-Algebra AlgL : Let L be a commutative subspace lattice on a Hilbert space H and x and y be vectors in H. When does there exist an invertible operator A in AlgL suth that An = ㅛ?

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References

  1. J. Functional Analysis v.3 Interpolation problems in nest algebras W. B. Arveson
  2. Indiana Univ. Math. J. v.29 The equation Tx = y in a reflexive operator algebra A. Hopenwasser
  3. Illionois J. Math v.4 no.33 Hibert-Schmidt interpolation in CSL algebras A. Hopenwasser
  4. Rocky Mountain Journal of Math. v.33 no.1 Interpolation problems in CSL-Algebra AlgL Y. S. Jo;J. H. Kang
  5. Korean J. Computational & App. Math. v.9 no.2 Self-Adjoint Interpolation for vectors in a Tridiagonal Algebra Y. S. Jo
  6. Proc. Nat. Acad. Sci. U.S.A. Irreducible Operator Algebras R. Kadison
  7. Proc. London Math. Soc. v.19 no.3 Some properties of nest algebras E. C. Lance
  8. J. Math. Anal. Appl v.140 Compact causal data interpolation N. Munch