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Stability of Divisors.

Authors :
Gohberg, I.
Alpay, D.
Arazy, J.
Atzmon, A.
Ball, J. A.
Ben-Artzi, A.
Bercovici, H.
Böttcher, A.
Clancey, K.
Coburn, L. A.
Curto, R. E.
Davidson, K. R.
Douglas, R. G.
Dijksma, A.
Dym, H.
Fuhrmann, P. A.
Gramsch, B.
Helton, J. A.
Kaashoek, M. A.
Kaper, H. G.
Source :
Factorization of Matrix & Operator Functions: The State Space Method; 2008, p339-373, 35p
Publication Year :
2008

Abstract

In this chapter we shall prove that there exist stable factorizations which are not spectral factorizations. In fact, for the finite-dimensional case we shall give a complete description of all possible stable minimal factorizations. It will also be shown that stability amounts to the same as the property of being isolated provided the underlying field is complex (which will be the case in this chapter). [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISBNs :
9783764382674
Database :
Supplemental Index
Journal :
Factorization of Matrix & Operator Functions: The State Space Method
Publication Type :
Book
Accession number :
33672025
Full Text :
https://doi.org/10.1007/978-3-7643-8268-1_15