Hostname: page-component-7bb8b95d7b-wpx69 Total loading time: 0 Render date: 2024-09-27T03:57:04.182Z Has data issue: false hasContentIssue false
  • English
  • Français

Growth conditions on subharmonic functions and resolvents of operators

Published online by Cambridge University Press:  24 October 2008

J. R. Partington
J. R. Partington
Affiliation:
Fitzwilliam College, Cambridge
Get access Rights & Permissions [Opens in a new window]

Extract

Let X be a complex Banach space and T a bounded operator on X. The numerical range of T is defined by

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 97 , Issue 2 , March 1985 , pp. 321 - 324
Copyright
Copyright © Cambridge Philosophical Society 1985

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

REFERENCES

[1]Hayman, W. K. and Kennedy, P. B.. Subharmonic Functions (Academic Press, 1976).Google Scholar
[2]Partington, J. R.. The resolvent of a Hermitian operator on a Banach space. J. London Math. Soc. (2) 27 (1983), 507–512.CrossRefGoogle Scholar
[3]Sneddon, I. N.. Elements of Partial Differential Equations (McGraw-Hill, 1957).Google Scholar
[4]Zsidó, L.. The resolvent of generalized self-adjoint operators and a related growth problem. (to appear.)Google Scholar