Mathematics – Spectral Theory
Scientific paper
1998-04-20
Mathematics
Spectral Theory
15 pages. Accepted for publication on Journal of Functional Analysis
Scientific paper
Given a separable, locally compact Hausdorff space $X$ and a positive Radon
measure $m(dx)$ on it, we study the problem of finding the potential $V(x) \ge
0$ that maximizes the first eigenvalue of the Schr\"odinger-type operator
$L+V(x)$; $L$ is the generator of a local Dirichlet form $(a, D[a])$ on $L^2(X,
m(dx))$.
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