On the Palais-Smale condition for action integrals
โ Scribed by Pietro Majer
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 404 KB
- Volume
- 103
- Category
- Article
- ISSN
- 0022-1236
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๐ SIMILAR VOLUMES
In this paper, we present necessary and sufficient conditions on the. resolvent of the generator of a strongly continuous semigroup in order that the corresponding semigroup is hyperbolic. The proof is based on a new characterization of the growth bound in terms of the resolvent. As an application,
Consider a completely integrable torus action on a compact Spin c manifold. The equivariant index of the Dirac operator is a virtual representation of the torus and is determined by the multiplicities of the weights which occur it in. We prove that these multiplicities are equal to values of the den