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Matrix functions with arbitrarily prescribed left and right partial indices |
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| Authors: | A Böttcher S M Grudsky I M Spitkovsky |
| Institution: | (1) Fakultät für Mathematik, TU Chemnitz, 09107 Chemnitz, Germany;(2) Faculty of Mechanics and Mathematics, Rostov-on-Don State University, Bolshaya Sadovaya 105, 344711 Rostov-on-Don, Russian Federation;(3) Department of Mathematics, The College of William and Mary, 23187-8795 Williamsburg, VA, USA |
| Abstract: | We prove that ifn 2 and  ,  are two given vectors inZ
n, then there exists a matrix function inL
n×n
(T) which has a right Wiener-Hopf factorization inL
2 with the partial indices and a left Wiener-Hopf factorization inL
2 with the partial indices . |
| Keywords: | Primary 47 A 68 Secondary 30 D 55 42 A 58 45 E 10 47 B 35 |
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