Factorization on the Circle
Georgii S. Litvinchuk, Ilia M. Spitkovskii · Operator theory · 1987
The results of this chapter may be divided into two groups, which are associated with each other in a natural way. The first of them is formed by problems of factorization and Ф-factorization on the circle T of Hermitian (in particular, of definite) and unitary matrix functions. The properties in which these matrix functions are peculiar enable for obtaining more complete and exact theorems on factorization. Some of these theorems are useful, especially, for the study of relationships between necessary and exact conditions of factorability, a problem, which was already stated in Chapters 2 and 3. 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.