Perturbations preserving conditioned invariant subspaces | Zendy

Compta Albert | Zendy; Ferrer Josep | Zendy; Peña Marta | Zendy

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Perturbations preserving conditioned invariant subspaces

Author(s) -

Compta Albert,

Ferrer Josep,

Peña Marta

Publication year - 2012

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.1553

Subject(s) - linear subspace , unobservable , invariant subspace , subspace topology , mathematics , invariant (physics) , pure mathematics , reflexive operator algebra , algebra over a field , discrete mathematics , mathematical analysis , computer science , mathematical physics , econometrics , compact operator , extension (predicate logic) , programming language

Given the set of matrix pairs M ⊂ M m , n( C ) × M n( C ) keeping a subspace S ⊂ C ninvariant, we obtain a miniversal deformation of a pair belonging to an open dense subset of M . It generalizes the known results when S is a supplementary subspace of the unobservable one. Copyright © 2011 John Wiley & Sons, Ltd.

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