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Existence, Uniqueness, and Parametrization of Lagrangian Invariant Subspaces

✍ Scribed by Freiling, Gerhard; Mehrmann, Volker; Xu, Hongguo

Book ID
118216947
Publisher
Society for Industrial and Applied Mathematics
Year
2002
Tongue
English
Weight
259 KB
Volume
23
Category
Article
ISSN
0895-4798

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Parametrization of (C,A)-invariant subsp
Parametrization of (C,A)-invariant subspaces
✍ D. Hinrichsen; H.F. MΓΌnzner; D. PrΓ€tzel-Wolters πŸ“‚ Article πŸ“… 1981 πŸ› Elsevier Science 🌐 English βš– 485 KB

In this paper we classify and parametrize the (C. A)-invariant subspaces of a given observable pair (C.A). For that purpose we associate with every (C.A)-invariant subspace V a K[s]module MY of Laurent series in s-' and parametrize these modules via their uniquely determined Kronecker-Hermite bases.