Original Articles

INVERSION OF TOEPLITZ OPERATORS WITH RATIONAL SYMBOLS VIA FACTORIZATION AND REALIZATION

Published in: Quaestiones Mathematicae
Volume 19 , issue 1-2 , 1996 , pages: 357–378

DOI: 10.1080/16073606.1996.9631846

Author(s): G.J. Groenewald Dept. of Math, and Appl. Math., South Africa

Keywords: 47B35 , 47A68 , 47A56

Abstract

Semi-infinite block Toeplitz operators with rational matrix symbols are inverted explicitly by employing the factorization method. All formulas are based on a special representation of the symbol involving a quintet of matrices, which differs from the ones that have been used earlier.

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