On the convexity of the multiplicative potential and penalty functions and related topics
✍ Scribed by Pierre Maréchal
- Publisher
- Springer-Verlag
- Year
- 2001
- Tongue
- English
- Weight
- 89 KB
- Volume
- 89
- Category
- Article
- ISSN
- 0025-5610
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## Abstract We give __direct proofs__ of the convex compactness property for the strong operator topology in __Lebesgue spaces__ for compact or weakly compact operators. We also show how this tool applies to spectral theory of perturbed semigroups. Some non‐weakly compact operators arising in pertu
We study convexity properties of the zeros of some special functions that follow from the convexity theorem of Sturm. We prove results on the intervals of convexity for the zeros of Laguerre, Jacobi and ultraspherical polynomials, as well as functions related to them, using transformations under whi