Mackey weak barrelledness
HTML articles powered by AMS MathViewer
- by Stephen A. Saxon and L. M. Sánchez Ruiz
- Proc. Amer. Math. Soc. 126 (1998), 3279-3282
- DOI: https://doi.org/10.1090/S0002-9939-98-04511-0
- PDF | Request permission
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.References
- Ryszard Engelking, Topologia ogólna, Biblioteka Matematyczna [Mathematics Library], vol. 47, Państwowe Wydawnictwo Naukowe (PWN), Warsaw, 1975 (Polish). MR 0500779
- J. C. Ferrando and M. López Pellicer, A property of M. Valdivia, spaces of type (L) and weak barrelling conditions, Rev. Real Acad. Cienc. Exact. Fís. Natur. Madrid 83 (1989), no. 1, 25–34 (Spanish, with English summary). MR 1074349
- J. C. Ferrando and L. M. Sánchez Ruiz, On sequential barrelledness, Arch. Math. (Basel) 57 (1991), no. 6, 597–605. MR 1135415, DOI 10.1007/BF01199065
- Mark Levin and Stephen 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 280973, DOI 10.1090/S0002-9939-1971-0280973-2
- Pedro Pérez Carreras and José Bonet, Barrelled locally convex spaces, North-Holland Mathematics Studies, vol. 131, North-Holland Publishing Co., Amsterdam, 1987. Notas de Matemática [Mathematical Notes], 113. MR 880207
- S. A. Saxon, Metrizable barrelled countable enlargements, preprint.
- S. A. Saxon and L. M. Sánchez Ruiz, Barrelled countable enlargements and the dominating cardinal, J. Math. Anal. Appl. 203(1996), 677-685.
- Stephen A. Saxon and L. M. Sánchez Ruiz, Dual local completeness, Proc. Amer. Math. Soc. 125 (1997), no. 4, 1063–1070. MR 1389535, DOI 10.1090/S0002-9939-97-03864-1
- S. A. Saxon and L. M. Sánchez Ruiz, Reinventing weak barrelledness, preprint.
- S. A. Saxon and L. M. Sánchez Ruiz, Metrizable weak barrelledness and dimension, preprint.
- S. A. Saxon, L. M. Sánchez Ruiz, and I. Tweddle, Countably enlarging weak barrelledness, preprint.
- Stephen A. Saxon and Ian Tweddle, The fit and flat components of barrelled spaces, Bull. Austral. Math. Soc. 51 (1995), no. 3, 521–528. MR 1331447, DOI 10.1017/S0004972700014374
- S. A. Saxon and I. Tweddle, Mackey $\aleph _0$-barrelled spaces, Advances in Math., to appear.
- I. Tweddle and F. X. Catalan, Countable enlargements and weak barrelledness conditions, Topological vector spaces, algebras and related areas (Hamilton, ON, 1994) Pitman Res. Notes Math. Ser., vol. 316, Longman Sci. Tech., Harlow, 1994, pp. 56–65. MR 1319373
Bibliographic Information
- Stephen A. Saxon
- Affiliation: Department of Mathematics, University of Florida, P.O. Box 118105, Gainesville, Florida 32611-8105
- MR Author ID: 155275
- 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
- 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 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 3279-3282
- MSC (1991): Primary 46A08
- DOI: https://doi.org/10.1090/S0002-9939-98-04511-0
- MathSciNet review: 1458260