POSISTIVE INTERPOLATION PROBLEMS IN TRIDIAGOSNAL ALGEBRA

  • Published : 2000.01.01

Abstract

In this article, we investigate positive interpolation problems in tridiagonal algebra which was introduded by F. Gilfeather and D. Larson.

Keywords

References

  1. Math. Proc. Camb. Phil. Soc. v.111 Interpolation problems for ideals in certain reflexive operator algebras M. Anoussis;E. Katsoulis;R. L. Moore;T. T. Trent
  2. J. Functional Analysis v.3 Interpolation problems in nest algebras W. B. Arveson
  3. J. Integral Equations and Operator Theory v.8 A commutant lifting theorem for triangular matrices with diverse applications J. A. Ball;I. Gohberg
  4. Ann. Math. v.76 Interpolation by bounded analytic functions and the corona problem L. Carleson
  5. Longman Scientific and Technical Nest algebras, Pitman Research Notes in Mathematics K. R. Davidson
  6. Proc. Amer. Math. Soc. v.17 On majorization, factorization, and range inclusion of operators on Hilbert space R. G. Douglas
  7. Operator Theory: Adv. Appl. v.2 Commutants modulo the compact operators of certain CSL algebras F. Gilfeather;D. Larson
  8. Amer. Math. Soc. Operator theory, analytic functions, matrices, and electrical engineering Regional Conference Series in Mathematics no. 68 J. W. Helton
  9. Indiana University Math. J. v.29 The equation Tx = y in a reflexive operator algebra A. Hopenwasser
  10. Illinois J. Math. v.33 no.4 Hilbert-Schmidt interpolation in CSL algebras A. Hopenwasser
  11. Pacific Journal of Mathematics v.140 no.1 Isometries of Tridiagonal Algebras Y. S. Jo
  12. Michigan Math. J. v.37 Isomorphisms of $AlgL_n$ and $AlgL_∞$ Y. S. Jo;T. Y. Choi
  13. J. Operator Theory v.29 Interpolation in nest algebras and applications to operator Corona Theorems E. Katsoulis;R. L. Moore;T. T. Trent
  14. Proc. Nat. Acad. Sci. U.S.A. Irreducible Operator Algebras R. Kadison
  15. Proc. London Math. Soc. v.19 no.3 Some properties of nest algebras E. C. Lance
  16. J. Math. Anal. Appl. no.11 Compact causal data interpolation N. Munch
  17. Ann. Acad. Sci. Fenn., series AⅠ Math. v.2 On contractions similar to isometries and Toeplitz operators B. SZ.-Nagy;C. Folas
  18. Hardy classes and operator theory M. Rosenblum;J. Rovnyak
  19. J. Integral Equations and Operator Theory v.3 Corona theorem for countably many functions M. Rosenblum
  20. Proc. Amer. Math. Soc. v.69 Corona theorem as operator theorem C. F. Schubert
  21. Sys. Sciences and math. Sciences v.1 A Krein space approach to the operator version of the corona problem S. Shunhua