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Proyecciones Journal of Mathematics
Vol. 26, Nº 3, pp. 245-251, December 2007.
Universidad Católica del Norte
Antofagasta - Chile
THE UNIFORM BOUNDEDNESS PRINCIPLE FOR ARBITRARY LOCALLY CONVEX SPACES
New Mexico State University, U. S. A.
We establish uniform boundedness principle for pointwise bounded families of continuous linear operators between locally convex spaces which require no assumptions such as barrelledness on the domain space of the operators. We give applications of the result to separately continuous bilinear operators between locally convex spaces.
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Department of Mathematics
New Mexico State University
Las Cruces, New Mexico, 88003
U. S. A.
e-mail : mailto:firstname.lastname@example.org
Received : August 2007. Accepted : October 2007