Hostname: page-component-cd9895bd7-gvvz8 Total loading time: 0 Render date: 2024-12-27T06:03:10.794Z Has data issue: false hasContentIssue false
  • English
  • Français

An elementary proof of Kato's lemma

Published online by Cambridge University Press:  26 February 2010

G. Temple
G. Temple
Affiliation:
Mathematical Institute, Oxford
Get access

Extract

A well-known method of calculating an approximate value of an eigenvalue λ of a self-adjoint operator H employs an approximation, say w, to the corresponding eigenfunction ψ. Since

the exact value of λ is given by

Type
Research Article
Information
Mathematika , Volume 2 , Issue 1 , June 1955 , pp. 39 - 41
Copyright
Copyright © University College London 1955

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Bateman, H., Camb. Phil. Soc. Tram., XX (1908), 371.Google Scholar
2.Kato, T., Journal of the Physical Society of Japan, 4 (1949), 334–339.Google Scholar
3.Temple, G., Proc. Royal Soc. A, 211 (1952), 204–224.Google Scholar