Geodesic
Some Spaces are not the Domain of a Closed Linear Operator in a Banach Space
Canadian mathematical bulletin, Tome 23 (1980) no. 4, pp. 501-503

Voir la notice de l'article provenant de la source Cambridge University Press

Let be a linear partial differential operator with C∞- coefficients. The study of P(∂) as an operator in L2(Rn) usually starts with the investigation of the minimal operator P0 which is the closure of P(∂) acting on . In the case of constant coefficients it is known that the domain D(P0) of P0 at least contains the space (cf. Schechter [4, p. 58, Lemma 1.2]). 
Dierolf, Peter; Dierolf, Susanne. Some Spaces are not the Domain of a Closed Linear Operator in a Banach Space. Canadian mathematical bulletin, Tome 23 (1980) no. 4, pp. 501-503. doi: 10.4153/CMB-1980-078-9
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