A. Böttcher; S. M. Grudsky; I. M. Spitkovsky : Two papers on inverse problems for the partial indices of matrix functions
- Author(s) :
- A. Böttcher; S. M. Grudsky; I. M. Spitkovsky
- Title :
- Two papers on inverse problems for the partial indices of matrix functions
- Electronic source:
-
application/pdf
- Preprint series
- Technische Universität Chemnitz, Fakultät für Mathematik (Germany). Preprint 98-34, 1998
- Mathematics Subject Classification :
- 47B35 [ Toeplitz operators, etc.
]
- 47A53 [ (Semi-)Fredholm operators; index theories ]
- 47A68 [ Factorization theory of linear operators ]
- 47A53 [ (Semi-)Fredholm operators; index theories ]
- Abstract :
- We first show that if \kappa and \nu are given
integers, then there exist matrix functions
whose right and left total indices are just
\kappa and \nu. In the second part we prove
that given two vectors \varrho and \lambda of
integers, there exist matrix functions which have
a right Wiener-Hopf factorization in L^2 with
the partial indices \varrho and a left
Wiener-Hopf factorization on L^2 with the partial
indices \lambda.
- Keywords :
- Toeplitz operator, Wiener-Hopf operator, Wiener-Hopf factorization, Matrix function, Partial indices
- Language :
- english
- Publication time :
- 12/1998
