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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
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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

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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