Book Review
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MathSciNet review:
1567140
Full text of review:
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Book Information:
Author:
M. De Wilde
Title:
Closed graph theorems and webbed spaces
Additional book information:
Research Notes in Mathematics, no. 19, Pitman, London, 1978, xii + 158 pp.
1. S. Banach, Théorie des opérations linéaires, Monografie Mat., vol. 1, PWN, Warszawa, 1932.
Jean Dieudonné and Laurent Schwartz, La dualité dans les espaces $\scr F$ et $(\scr L\scr F)$, Ann. Inst. Fourier (Grenoble) 1 (1949), 61–101 (1950) (French). MR 38553
Alexandre Grothendieck, Produits tensoriels topologiques et espaces nucléaires, Mem. Amer. Math. Soc. 16 (1955), Chapter 1: 196 pp.; Chapter 2: 140 (French). MR 75539
Taqdir Husain, The open mapping and closed graph theorems in topological vector spaces, Clarendon Press, Oxford, 1965. MR 0178331
Taqdir Husain, Introduction to topological groups, W. B. Saunders Co., Philadelphia, Pa.-London, 1966. MR 0200383
Gottfried Köthe, Über zwei Sätze von Banach, Math. Z. 53 (1950), 203–209 (German). MR 38551, DOI 10.1007/BF01175655
Vlastimil Pták, Completeness and the open mapping theorem, Bull. Soc. Math. France 86 (1958), 41–74. MR 105606
Alex P. Robertson and Wendy Robertson, On the closed graph theorem, Proc. Glasgow Math. Assoc. 3 (1956), 9–12. MR 84108
Marc De Wilde, Théorème du graphe fermé et espaces à réseau absorbant, Bull. Math. Soc. Sci. Math. R. S. Roumanie 11(59) (1967), 225–238 (1968) (French). MR 230103
- 1.
- S. Banach, Théorie des opérations linéaires, Monografie Mat., vol. 1, PWN, Warszawa, 1932.
- 2.
- J. Dieudonné et L. Schwartz, La dualité dans les espaces (F) et (LF), Ann. Inst. Fourier (Grenoble) 1 (1949), 61-101. MR 0038553
- 3.
- A. Grothendieck, Produits tensoriels topologiques et espaces nucléaires, Mem. Amer. Math. Soc. No. 16 (1955). MR 75539
- 4.
- T. Husain, The open mapping and closed graph theorems in topological vector spaces, Oxford Math. Monographs, 1965. MR 178331
- 5.
- T. Husain, Introduction to topological groups, Saunders, Philadelphia, Pa., 1966. MR 200383
- 6.
- G. Köthe, Über zwei Sätze von Banach, Math. Z. 53 (1950), 203-209. MR 38551
- 7.
- V. Pták, Completeness and the open mapping theorem, Bull. Soc. Math. France 86 (1958), 41-74. MR 105606
- 8.
- A. Robertson and W. Robertson, On the closed graph theorem, Proc. Glasgow Math. Assoc. 3 (1956), 9-12. MR 84108
- 9.
- M. de Wilde, Théorème du graphe fermé et spaces à réseaux absorbants, Bull. Math. Soc. Sci. Math. R. S. Roumanie 11 (1967), 225-238. MR 230103
Review Information:
Reviewer:
Taqdir Husain
Journal:
Bull. Amer. Math. Soc.
1 (1979), 518-521
DOI:
https://doi.org/10.1090/S0273-0979-1979-14601-9
