Canonical matrices of isometric operators on indefinite inner product spaces
β Scribed by Vladimir V. Sergeichuk
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 501 KB
- Volume
- 428
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The linear operator Tin an inner product space ( X , [ . , a ] ) is called contractive (expansive, XI, resp.) for all x E X . Eigenvalues, in particular those in the unit disc, and the signatures of the corresponding eigenspaces were studied e.g. ## in [IKL], [AI], [B], where also references to e
Let A be a symmetric linear operator defined on all of a (possibly degenerate) indefinite inner product space &4 Let JV be the set of all subspaces of 2 which are A-invariant, neutral (in the sense of the indefinite scalar product), and finite dimensional. It is shown that members of JV which are ma
We present an analogue of Uhlhorn's version of Wigner's theorem on symmetry transformations for the case of indefinite inner product spaces. This significantly generalizes a result of Van den Broek. The proof is based on our main theorem, which describes the form of all bijective transformations on