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Book Review

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Book Information:

Authors: T. Husain and S. M. Khaleelulla
Title: Barrelledness in topological and ordered vector spaces
Additional book information: Lecture Notes in Math., vol. 692, Springer-Verlag, Berlin-Heidelberg-New York, 1978, x + 258 pp.

References [Enhancements On Off] (What's this?)

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  • 6. T. Husain, Two new classes of locally convex spaces, Math. Ann. 166 (1966), 289-299. MR 212535
  • 7. S. O. Iyahen, On certain classes of linear topological spaces, Proc. London Math. Soc. (3) 18 (1968), 285-307. MR 226358
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  • 10. M. Mahowald, Barrelled spaces and the closed graph theorem, J. London Math. Soc. 36 (1961), 108-110. MR 125426
  • 11. V. Pták, Completeness and the open mapping theorem, Bull. Soc. Math. France 86 (1958), 41-74. MR 105606
  • 12. A. P. Robertson and W. J. Robertson, On the closed graph theorem, Proc. Glasgow Math. Assoc. 3 (1956), 9-12. MR 84108
  • 13. W. J. Robertson, Completions of topològical vector spaces, Proc. London Math. Soc. 8 (1958), 242-257. MR 98298
  • 14. S. Saxon and M. Levin, Every countable-codimensional subspace of a barrelled space is barrelled, Proc. Amer. Math. Soc. 29 (1971), 91-96. MR 280972
  • 15. M. Valdivia, Absolutely convex sets in barrelled spaces, Ann. Inst. Fourier (Grenoble) 21, (1971), fasc. 2, 3-13. MR 333643
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  • 18. Y.-C. Wong, Order-infrabarrelled Riesz spaces, Math. Ann. 183 (1969), 17-32. MR 253017
  • 19. Y.-C. Wong and K.-F. Ng, Partially ordered topological vector spaces, Oxford Math. Monograph, Clarendon Press, Oxford, 1973. MR 454581

Review Information:

Reviewer: I. Namioka
Journal: Bull. Amer. Math. Soc. 2 (1980), 364-368
DOI: https://doi.org/10.1090/S0273-0979-1980-14763-1
American Mathematical Society