Strong stability of invariant subspaces of quaternion matrices. (English) Zbl 1282.15024
Kaashoek, Marinus A. (ed.) et al., Advances in structured operator theory and related areas. The Leonid Lerer anniversary volume on the occasion of his 70th birthday. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0638-1/hbk; 978-3-0348-0639-8/ebook). Operator Theory: Advances and Applications 237, 221-239 (2013).
Summary: Classes of matrices and their invariant subspaces with various robustness properties are described, in the context of matrices over real quaternions and quaternionic subspaces. Robustness is understood in the sense of being close to the original invariant subspace under small perturbation of the matrix.
For the entire collection see [Zbl 1272.47001].
For the entire collection see [Zbl 1272.47001].
MSC:
| 15B33 | Matrices over special rings (quaternions, finite fields, etc.) |
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