## Abstract This paper is concerned with emptyness of the essential spectrum, or equivalently compactness of the semigroup, for perturbations of self‐adjoint operators that are bounded below (on an __L__^2^‐space). For perturbations by a (nonnegative) potential we obtain a simple criterion for com
✦ LIBER ✦
L1-properties of intrinsic Schrödinger semigroups
✍ Scribed by E.B Davies; B Simon
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 781 KB
- Volume
- 65
- Category
- Article
- ISSN
- 0022-1236
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In this paper, we will give a lower bound on the gap by using a weak Poincare inequality which was introduced by M. Ro ckner and F.-Y. Wang (2000, Weak Poincare inequalities and L 2 -convergence rates of Markov semigroups, preprint). Also we will give estimates on the distribution function of ground