호남수학학술지 (Honam Mathematical Journal)

  • 제27권3호
  • /
  • Pages.431-443
  • /
  • 2005
  • /
  • 1225-293X(pISSN)
  • /
  • 2288-6176(eISSN)
호남수학회 (The Honam Mathematical Society)
권호 표지

NORMAL INTERPOLATION PROBLEMS IN CSL-ALGEBRA ALG𝓛

  • JO, YOUNG SOO (Dept. of Math., Keimyung University) ;
  • KANG, JOO HO (Dept. of Math., Daegu University) ;
  • PARK, DONG WAN (Dept. of Math., Keimyung University)
  • 투고 : 2005.07.08
  • 발행 : 2005.09.25
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초록

We investigate the equation Ax = y, where the vectors x and y are given and the operator A is normal and required to lie in CSL-algebra $AlG{\mathcal{L}}$. We desire a necessary and sufficient condition for the existence of a solution A.

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참고문헌

  1. J. Funct. Anal. v.3 Interpolation problems in nest algebras Arveson, W.B.
  2. Proc. Amer. Math. Soc. v.17 On majorization, factorization, and range inclusion of operators on Hilbert space Douglas, R.G.
  3. Operator Theory: Adv. Appl. v.2 Commutants modulo the compact operators of certain CSL-algebras Gilfeather, F.;Larson, D.
  4. Indiana University Math. J. v.29 The equation Tx = y in a reflexive operator algebra Hopenwasser, A.
  5. Illinois J. Math. v.33 Hilbert-Schmidt interpolation in CSL algebras Hopenwasser, A.
  6. Rocky Mountain J. Math. v.33 no.3 Interpolation problems in CSL-algebra Alg${\Gamma}$ Jo, Y.S.;Kang, J.H.
  7. Proc. Amer. Math. Soc. v.130 Interpolation in self-adjoint settings Jo, Y.S.;Kang, J.H.;Moore, R.L.;Trent, T.T.
  8. Proc. Nat. Acad. Sci. U.S.A. v.43 Irreducible operator algebras Kadison, R.
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  10. J. Math. Anal. Appl. v.140 Compact causal data interpolation Munch, N.