On the surjectivity of linear transformations

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 Tu=v. This result is used to discuss the existence of an Lp-weak soluti...

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Bibliographic Details

Published in:	International Journal of Mathematics and Mathematical Sciences
Main Authors:	M. Damlakhi, V. Anandam
Format:	Article
Language:	English
Published:	Wiley 1996-01-01
Subjects:	Admissible linear operators Lp-functions harmonic functions.
Online Access:	http://dx.doi.org/10.1155/S0161171296000750