Pták homomorphism theorem revisited
Czechoslovak Mathematical Journal, Tome 50 (2000) no. 2, pp. 341-346
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library
Rodrigues’ extension (1989) of the classical Pták’s homomorphism theorem to a non-necessarily locally convex setting stated that a nearly semi-open mapping between a semi-B-complete space and an arbitrary topological vector space is semi-open. In this paper we study this extension and, as a consequence of the results obtained, provide an improvement of Pták’s homomorphism theorem.
Rodrigues’ extension (1989) of the classical Pták’s homomorphism theorem to a non-necessarily locally convex setting stated that a nearly semi-open mapping between a semi-B-complete space and an arbitrary topological vector space is semi-open. In this paper we study this extension and, as a consequence of the results obtained, provide an improvement of Pták’s homomorphism theorem.
Classification :
46A16, 46A30, 47A05
Keywords: homomorphism theorem B-complete space; B-complete space
Keywords: homomorphism theorem B-complete space; B-complete space
@article{CMJ_2000_50_2_a8,
author = {Ferrer, J. R. and L\'opez Pellicer, M. and Ruiz, L. M. S\'anchez},
title = {Pt\'ak homomorphism theorem revisited},
journal = {Czechoslovak Mathematical Journal},
pages = {341--346},
year = {2000},
volume = {50},
number = {2},
mrnumber = {1761391},
zbl = {1050.46502},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_2000_50_2_a8/}
}
Ferrer, J. R.; López Pellicer, M.; Ruiz, L. M. Sánchez. Pták homomorphism theorem revisited. Czechoslovak Mathematical Journal, Tome 50 (2000) no. 2, pp. 341-346. http://geodesic.mathdoc.fr/item/CMJ_2000_50_2_a8/