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Some Spaces are not the Domain of a Closed Linear Operator in a Banach Space
Published online by Cambridge University Press: 20 November 2018
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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]).
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- Copyright © Canadian Mathematical Society 1980