×

zbMATH — the first resource for mathematics

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)
PDF BibTeX XML Cite
Full Text: DOI