Proceedings of the American Mathematical Society

Author(s): Stephen A. Saxon; L. M. Sánchez Ruiz
Journal: Proc. Amer. Math. Soc. 126 (1998), 3279-3282.
MSC (1991): Primary 46A08
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Abstract: Answers to questions of Levin and Saxon (1971) and of Ferrando and López Pellicer (1991) complete a linear picture of weak barrelledness for Mackey spaces.

1.: R. Engelking, General Topology, Warszawa, PWN 1977. MR 58:18316b; MR 84k:54035
2.: J. C. Ferrando and M. López Pellicer, Una propiedad de M. Valdivia, espacios de tipo (L) y condiciones débiles de tonelación, Rev. Re. Ac. Ci. Ex. Fís. y Nat. 83(1991), 25-34. MR 91j:46005
3.: J. C. Ferrando and L. M. Sánchez Ruiz, On sequential barrelledness, Arch. Math. 57(1991), 597-605. MR 92j:46005
4.: M. Levin and S. Saxon, A note on the inheritance of properties of locally convex spaces by subspaces of countable codimension, Proc. Amer. Math. Soc. 29(1971), 97-102. MR 43:6692
5.: P. Pérez Carreras and J. Bonet, Barrelled Locally Convex Spaces, Math. Studies 131, North Holland, 1987. MR 88j:46003
6.: S. A. Saxon, Metrizable barrelled countable enlargements, preprint.
7.: S. A. Saxon and L. M. Sánchez Ruiz, Barrelled countable enlargements and the dominating cardinal, J. Math. Anal. Appl. 203(1996), 677-685. CMP 97:03
8.: S. A. Saxon and L. M. Sánchez Ruiz, Dual local completeness, Proc. Amer. Math. Soc. 125 (1997), 1063-1070. MR 97g:46004
9.: S. A. Saxon and L. M. Sánchez Ruiz, Reinventing weak barrelledness, preprint.
10.: S. A. Saxon and L. M. Sánchez Ruiz, Metrizable weak barrelledness and dimension, preprint.
11.: S. A. Saxon, L. M. Sánchez Ruiz, and I. Tweddle, Countably enlarging weak barrelledness, preprint.
12.: S. A. Saxon and I. Tweddle, The fit and flat components of barrelled spaces, Bull. Austral. Math. Soc. 51(1995), 521-528. MR 96c:46005
13.: S. A. Saxon and I. Tweddle, Mackey $\aleph _0$ -barrelled spaces, Advances in Math., to appear.
14.: I. Tweddle and F. X. Catalán, Countable enlargements and weak barrelledness conditions, in Topological vector spaces, algebras and related areas, (A. Lau and I. Tweddle, Editors) Pitman RNMS 316, Longman, 1994, pp. 56-65. MR 96a:46011

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 46A08

Stephen A. Saxon
Affiliation: Department of Mathematics, University of Florida, P.O. Box 118105, Gainesville, Florida 32611-8105
Email: saxon@math.ufl.edu

L. M. Sánchez Ruiz
Affiliation: EUITI-Departamento de Matemática Aplicada, Universidad Politécnica de Valencia, E-46022 Valencia, Spain
Email: lmsr@mat.upv.es

DOI: 10.1090/S0002-9939-98-04511-0
PII: S 0002-9939(98)04511-0
Keywords: Weak barrelledness, Mackey topology, Levin-Saxon and Ferrando-L\'{o}pez Pellicer questions
Received by editor(s): March 20, 1997
Additional Notes: Support from the Consellería de Educación y Ciencia en el marco del Plan Valenciano de Ciencia y Tecnología, also from DGICYT PB94-0535 and IVEI 033/003, is gratefully acknowledged.
Communicated by: Dale Alspach
Copyright of article: Copyright 1998, American Mathematical Society

Stephen A. Saxon and Ian Tweddle, Mackey aleph-null-barrelled spaces, Advances in Mathematics 145 (1999), 1 704 576, 230-238. (English)

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