On the surjectivity of linear transformations

M. Damlakhi and V. Anandam

International Journal of Mathematics and Mathematical Sciences, 1996, vol. 19, 1-4

Abstract:

Let B be a reflexive Banach space, X a locally convex space and T : B → X (not necessarily bounded) linear transformation. A necessary and sufficient condition is obtained so that for a given v ∈ X there is a solution for the equation T u = v . This result is used to discuss the existence of an L p -weak solution of D u = v where D is a differential operator with smooth coefficients and v ∈ L p .

Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:587092

DOI: 10.1155/S0161171296000750

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