A note on singularity approximation
โ Scribed by George Kvernadze
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 157 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0895-7177
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We give a topological and geometrical description of focus-focus singularities of integrable Hamiltonian systems. In particular, we explain why the monodromy around these singularities is non-trivial, a result obtained before by J.J. Duistermaat and others for some concrete systems.
The aim of this note is to fill in a gap in our previous paper in this journal. Precisely, we give a new proof of the following theorem: let (0, A, +) be a \_-finite measure space with +(0)>0, 0<p<+ , and Y a separable subspace of a Banach space X. Then Y is proximinal in X iff L p (+, Y) is proximi