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Some Remarks on Abstract Differential Operators

Published online by Cambridge University Press:  20 November 2018

M. A. Malik
M. A. Malik*
Affiliation:
Sir George Williams University, Montreal, Quebec
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Let A be a closed linear operator with domain DA dense in a Banach space B; DA is also a Banach space under the graph norm. By we represent the space of continuous linear mappings from B to DA and R(λ; A) = (λI—A)-1 denotes the resolvent of A; λ ∊ C (complex plane).

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 14 , Issue 3 , September 1971 , pp. 445 - 447
Copyright
Copyright © Canadian Mathematical Society 1971

References

1. Agmon, S. and Nirenberg, L., Properties of solutions of ordinary differential equations in Banach space, Comm. Pure Appl. Math. 16 (1963).Google Scholar
2. Hormander, L., Linear partial differential operators, Academic Press, New York, 1963.Google Scholar