Hostname: page-component-78c5997874-t5tsf Total loading time: 0 Render date: 2024-11-08T02:52:01.092Z Has data issue: false hasContentIssue false
  • English
  • Français

An Operational Calculus for Meromorphic Functions

Published online by Cambridge University Press:  22 January 2016

Herbert A. Gindler
Herbert A. Gindler*
Affiliation:
San Diego State College and University of Pittsburgh
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Consider a linear transformation T whose domain D(T) and range R(T) lie in a complex Banach space X. We denote by [X] the class of all linear transformations T for which D(T) = X and T is continuous (bounded). Also, we denote the resolvent set of T by ρ(T) and the spectrum of T by σ(T).

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 26 , February 1966 , pp. 31 - 38
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1966

References

[1] Dunford, Nelson, 1. Spectral theory. I. Convergence to projections. Trans. Amer. Math. Soc., vol. 54 (1943), pp. 185–217.Google Scholar
[1] Dunford, Nelson, 2. Spectral theory. Bull. Amer. Math. Soc., vol. 49 (1943), pp. 637–651.CrossRefGoogle Scholar
[2] Hille, E. and Phillips, R. S., 1. Functional Analysis and Semi-Groups, American Math. Soc., Colloquium Publications, vol. XXXI, Revised Ed. 1957.Google Scholar
[3] Taylor, A. E., 1. Analysis in complex Banach spaces. Bull. Amer. Math. Soc., vol. 49 (1943), pp. 652–669.CrossRefGoogle Scholar
[3] Taylor, A. E., 2. Spectral theory of closed distributive operators, Acta. Math., vol. 84 (1950), pp. 189–224.Google Scholar