Some Remarks on Abstract Differential Operators
Canadian mathematical bulletin, Tome 14 (1971) no. 3, pp. 445-447

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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).
Malik, M. A. Some Remarks on Abstract Differential Operators. Canadian mathematical bulletin, Tome 14 (1971) no. 3, pp. 445-447. doi: 10.4153/CMB-1971-079-7
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[1] 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] 2. Hormander, L., Linear partial differential operators, Academic Press, New York, 1963. Google Scholar

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