SciELO - Scientific Electronic Library Online

vol.28 número3ALGEBRAIC PROPERTIES AND EXAMPLES OF INVERSE SEMIGROUPSFUZZY GRAPHS IN FUZZY NEURAL NETWORKS índice de autoresíndice de materiabúsqueda de artículos
Home Pagelista alfabética de revistas  

Servicios Personalizados



Links relacionados


Proyecciones (Antofagasta)

versión impresa ISSN 0716-0917

Proyecciones (Antofagasta) v.28 n.3 Antofagasta dic. 2009 

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


Charles Swartz

New Mexico State University, U. S. A.

Correspondencia a:


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.


[DS] N. Dunford and J. Schwartz, Linear Operators, Interscience, N. Y., (1957).        [ Links ]

[Ko1] G. Kothe, Topological Vector Spaces I, Springer-Verlag, Berlin, (1966).        [ Links ]

[Ko2] G. Kothe, Topological Vector Spaces II, Springer-Verlag, Berlin, (1979).        [ Links ]

[Ku] S. S. Khurana, Quasi-Mackey Topology, Proy. J. Math., 26, pp. 253-257, (2007).        [ Links ]

[Sch] H. Schaefer, Topological Vector Spaces, MacMillan, N. Y., (1966).        [ Links ]

[Sw] C. Swartz, An Introduction to Functional Analysis, Marcel Dekker, N. Y., (1992).        [ Links ]

[Tr] F. Treves, Topological Vector Spaces, Distributions and Kernels, Academic Press, N. Y., (1967).        [ Links ]

[Wi] A. Wilansky, Modern Methods in Topological Vector Spaces, McGraw-Hill, N. Y., (1978).        [ Links ]

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

Received : July 2009. Accepted : August 2009

Creative Commons License