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The universal multiplicity theory for analytic operator-valued functions

Published online by Cambridge University Press:  24 October 2008

Jón Arason  and
Robert Magnus
Jón Arason
Affiliation:
The University Science Institute, Dunhaga 3, 107 Reykjavik, Iceland
Robert Magnus
Affiliation:
The University Science Institute, Dunhaga 3, 107 Reykjavik, Iceland
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Extract

An analytic operator-valued function A is an analytic map A: D → L(E, E), where D = D(A) is an open subset of the complex plane C and E = E(A) is a complex Banach space. For such a function A the singular set σ(A) of A is defined as the set of points z ∈ D such that A(z) is not invertible. It is a relatively closed subset of D.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 118 , Issue 2 , September 1995 , pp. 315 - 320
Copyright
Copyright © Cambridge Philosophical Society 1995

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References

REFERENCES

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