Extensions of Matrix-valued Inner Products on Modules and the Inversion Formula for Block Toeplitz Matrices
Robert Leslie Ellis, Israel Gohberg · Birkhäuser Basel eBooks · 2001
In this paper we continue the development started in [EGL] of Hilbert modules over the algebra of r × r complex matrices, with the ultimate goal of obtaining a new proof of the Gohberg-Heinig inversion formula for positive definite block Toeplitz matrices. The approach was motivated by ideas from prediction theory as suggested in [GL]. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.