Abstract
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.
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© 1987 Springer Basel AG
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Litvinchuk, G.S., Spitkovskii, I.M. (1987). Factorization on the Circle. In: Heinig, G. (eds) Factorization of Measurable Matrix Functions. Operator Theory: Advances and Applications, vol 25. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6266-0_8
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DOI: https://doi.org/10.1007/978-3-0348-6266-0_8
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-6268-4
Online ISBN: 978-3-0348-6266-0
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