Vol. 31, No. 1, 1969

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A generalization of the Weinstein-Aronszajn formula

Richard Hindman Bouldin

Vol. 31 (1969), No. 1, 9–18

This paper uses a technique of abstract spectral theory to reduce the study of certain eigenvalues, which are not necessarily isolated, to the case of isolated eigenvalues. By this method the Weinstein-Aronszajn formula for the change in multiplicity of an isolated eigenvalue of a self adjoint operator under a finite dimensional perturbation is extended. The hypotheses of this generalization are studied in the abstract and also by demonstrative example.

Mathematical Subject Classification
Primary: 47.48
Published: 1 October 1969
Richard Hindman Bouldin