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Invertible interpolation problems in Alg$\Cal L$

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Abstract

In this article, we investigate invertible interpolationproblems in AlgCal L : Let Cal L be a subspace lattice on aHilbert space Cal H and let X and Y be operators acting onCal H. When does there exist an invertible operator A inAlgCal L such that AX=Y?

참고문헌 (6)

  1. "and T. T. Trent \paper Interpolation problems for ideals in certain reflexive operator algebras \jour Math. Proc. Cambridge PhilosSoc. \yr 1992 \vol 111 \issue 1 \pages 151--160"
  2. "R. G. Douglas \paper On majorization and range inclusion of operators on Hilbert space \jour Proc. Amer. Math. Soc. \vol 17 \yr 1966 \pages 413--415"
  3. "A. Hopenwasser \paper The equation $Tx = y$ in a reflexive operator algebra \jour Indiana University Math. J. \vol29 \yr 1980 \pages 121--126"
  4. "Hilbert-Schmidt interpolation in CSLalgebras \jour Illinois J. Math. \vol 33 \issue 4 \yr 1989 \pages 657--672"
  5. "Y. S. Jo and J. H. Kang \paper InterpolationProblems in Alg$\Cal L$ \jour to appearE. Katsoulis and T. T. Trent \paper Interpolation in nest algebras and applications to operator Corona Theorems\jour J. Operator Theory \vol 29 \issue 1 \yr 1993 \pages 115--123"
  6. "E. C. Lance \paper Some properties of nestalgebras \jour Proc. London Math. Soc. \vol 19 \issue 3 \yr 1969 \pages 45--68"

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