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Applicable Analysis
An International Journal
Volume 77, 2001 - Issue 1-2
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Original Articles

Commutative and noncommutative representations of matrix-valued herglotz-nevanlinna functions

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Pages 135-147 | Received 01 Feb 2000, Published online: 02 May 2007

References

  • Belyi , S.V. and Tsekanovskil , E.R. 1997 . Realisation theorems for operator-valued R functions . Operator Theory: Advances and Applications , 98 : 55 – 91 .
  • Brodskiǐ , M.S. 1969 . Triangular and Jordan representations of linear operators , Moscow : Nauka . (Russian)
  • Brodskiǐ , M.S. and Livšic , M.S. 1958 . Spectral analysis of non-selfadjoint operators and intermediate systems . Uspekhi Matem. Nauk, XIII , 79 ( 1 ) : 3 – 84 . (Russian)
  • Gesztesy F. Tsekanovskiǐ E.R. On matrix-valued Herglotz functions Math. Nachr., (to appear)
  • Gesztesy F. Kalton N. Makarov K. Tsekanovskiǐ E.R. Some applications of Herglotz operator-valued functions Operator Theory: Advances and Applications, (to appear)
  • Hassi S. de Snoo H.S.V. Tsekanovskiǐ E.R. An addendum to the multiplication and factorization theorems of Brodskiǐ-Livšic-Potapov Applicable Analysis, (to appear)

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