Abstract
This chapter has an introductory character. It presents a number of problems involving factorization of matrix- and operator-valued functions of different types. The functions considered appear as transfer functions of input output systems (Section 1.1), as characteristic functions of Hilbert space operators (Sections 1.2 and 1.3), as monic matrix polynomials (Section 1.4) or as symbols of Wiener-Hopf and singular integral equations of various types (Sections 1.5 and 1.6). For each of these classes the corresponding factorization is described. This chapter also motivates the state space setting for solving factorization problems.
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© 2008 Birkhäuser Verlag AG
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(2008). Motivating Problems. In: Factorization of Matrix and Operator Functions: The State Space Method. Operator Theory: Advances and Applications, vol 178. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8268-1_2
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DOI: https://doi.org/10.1007/978-3-7643-8268-1_2
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-8267-4
Online ISBN: 978-3-7643-8268-1
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