Proyecciones Journal of Mathematics
Vol. 28, N° 3, pp. 233-237, December 2009.
Universidad Católica del Norte
Antofagasta - Chile


COMPACT OPERATORS


Charles Swartz


New Mexico State University, U. S. A.


Correspondencia a:

Abstract

We give a characterization in terms of the transpose operator for a continuous linear operator between locally convex spaces to map bounded sets into relatively weakly compact [relatively compact, precompact] sets. Our results give a known characterization for compact operators between Banach spaces.

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Charles Swartz
Mathematics Department
New Mexico State University
Las Cruces, N. M., 88003
U. S. A.
e-mail : cswartz@nmsu.edu

Received : July 2009. Accepted : August 2009