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On Meromorphic Operators, II

Published online by Cambridge University Press:  20 November 2018

S. R. Caradus
S. R. Caradus*
Affiliation:
Queen's University, Kingston, Ontario
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This paper forms a continuation of (1), extending the concept of a meromorphic operator to not necessarily bounded, closed linear operators in complex Banach space. Let T denote such an operator with range and domain in Banach space X. We shall study the class of such operators T where λ = 0 and λ = ∞ are the only allowable points of accumulation of σ(T) and every isolated point of σ(T) is a pole of Rλ(T). We shall write (0, ∞) to represent the class of such operators. If λ = 0 (λ = ∞) is the only allowable point of accumulation of σ(T), we shall write (0) ((∞)) to denote the corresponding class of operators.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 19 , 1967 , pp. 737 - 748
Copyright
Copyright © Canadian Mathematical Society 1967

References

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