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Book Review
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Book Information
Author(s):
J. C. Ferrando, M. López Pellicer and L. M. Sánchez Ruiz
Title:
Metrizable barrelled spaces
Additional book information:
Pitman Res. Notes in Math. Ser., vol. 332, Longman,
1995,
238 pp.,
$30.00,
ISBN 0-582-28703-0
References:
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- 3.
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- 4.
- J. Diestel, B. Faires, On vector measures, Trans. Amer. Math. Soc. 198 (1974), 253-271. MR 50:2912
- 5.
- J. C. Diaz, M. Florencio, J. P. Paúl, A uniform boundedness theorem for
, Arch. Math. 60 (1993), 73-78. MR 94f:46037 - 6.
- L. Drewnowski, M. Florencio, P. J. Paúl, The space of Pettis integrable functions is barrelled, Proc. Amer. Math. Soc. 114 (1992), 687-694. MR 92f:46045
- 7.
- L. Drewnowski, M. Florencio, P. J. Paúl, Uniform boundedness of operators and barrelledness in spaces with Boolean algebras of projections, Atti. Sem. Math. Fis. Univ. Modena 41 (1993), 317-329. MR 94m:46004
- 8.
- L. Drewnowski, M. Florencio, P. J. Paúl, On the barrelledness of spaces of bounded vector functions, Arch. Math. 63 (1994), 449-458. MR 95i:46047
- 9.
- F. J. Freniche, Barrelledness conditions of the space of vector valued and simple functions, Math. Ann. 267 (1984), 479-489. MR 85f:46074
- 10.
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-direct sums of seminormed spaces for , Arch. Math. 62 (1994), 331-334. MR 95f:46002 - 11.
- M. Kunzinger, Barrelledness, Baire-like and (LF)-spaces, Pitman Research Notes in Math., Longman, 1993. MR 95e:46004
- 12.
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- 13.
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, Fund. Math. 32 (1939), 294-300. - 14.
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- 15.
- S. A. Saxon, Two characterizations of linear Baire spaces, Proc. Amer. Math. Soc. 45 (1974), 204-208. MR 50:10740
- 16.
- S. A. Saxon, L. M. Sánchez-Ruiz, Barrelled countable enlargements and the bounding cardinal, J. London Math. Soc. 53 (1996), 158-166. MR 1:362 693
- 17.
- S. A. Saxon, A. Wilansky, The equivalence of some Banach space problems, Coll. Math. 37 (1977), 217-226. MR 58:23508
- 18.
- S. A. Saxon, M. Levin, Every countable-codimensional subspace of a barrelled space is barrelled, Proc. Amer. Math. Soc. 29 (1971), 91-96. MR 43:6691
- 19.
- M. Valdivia, P. Pere\'{z} Carreras, On totally barrelled spaces, Math. Z. 178 (1981), 263-269. MR 82m:46002
- 20.
- M. Valdivia, Products of Baire topological vector spaces, Fund. Math. 125 (1985), 61-80. MR 87d:46007
- 21.
- M. Valdivia, Topics in locally convex spaces, Math. Studies, North-Holland, 1982. MR 84i:46007
- 22.
- M. Valdivia, Classes of barrelled spaces related with the closed graph theorem, Portugaliae Math. 40 (1981), 345-366. MR 87g:46009
Additional Information:
Reviewer(s):
Jerzy
Kakol
Affiliation:
Poznan University
Email:
kakol@math.amu.edu.pl
Review Information:
Journal:
Bull. Amer. Math. Soc.
34
(1997),
101-105.
MSC
(1991):
Primary 46A08;
Secondary 46A16, 46E10
DOI:
10.1090/S0273-0979-97-00706-4
PII:
S 0273-0979(97)00706-4
Copyright of article:
Copyright
1997,
American Mathematical Society
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