Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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ON OPERATOR INTERPOLATION PROBLEMS

  • Published : 2004.05.01
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Abstract

In this paper we obtained the following: Let H. be a Hilbert space and (equation omitted) be a subspace lattice on H. Let X and Y be operators acting on H. If the range of X is dense in H, then the following are equivalent: (1) there exists an operator A in Alg(equation omitted) such that AX = Y, (2) sup (equation omitted) Moreover, if condition (2) holds, we may choose the operator A such that ∥A∥ = K.

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References

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Cited by

  1. SOLVING OPERATOR EQUATIONS Ax = Y AND Ax = y IN ALGL vol.33, pp.3_4, 2015, https://doi.org/10.14317/jami.2015.417
  2. COMPACT INTERPOLATION ON AX = Y IN ALG𝓛 vol.32, pp.3_4, 2014, https://doi.org/10.14317/jami.2014.441
  3. NORMAL INTERPOLATION ON AX = Y IN ALG$\mathcal{L}$ vol.30, pp.2, 2008, https://doi.org/10.5831/HMJ.2008.30.2.329