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Capacitary estimates for Dirichlet eigenvalues. (English) Zbl 0896.47017
Let $$H$$ be the nonnegative selfadjoint operator associated to a regular Dirichlet form on $$L^2(X,m)$$. It is assumed that $$H$$ has a discrete spectrum. In the paper, the following problems are investigated: the eigenvalues of the perturbed operator, the magnitude of the shift of perturbed eigenvalues.

##### MSC:
 47B06 Riesz operators; eigenvalue distributions; approximation numbers, $$s$$-numbers, Kolmogorov numbers, entropy numbers, etc. of operators 47B38 Linear operators on function spaces (general)
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