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Book Review

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Book Information:

Author: H. Jarchow
Title: Locally convex spaces
Additional book information: Teubner, Stuttgart, 1981, 14 + 534 pp., DM 98,--.

Author: Albert Wilansky
Title: Modern methods in topological vector spaces
Additional book information: McGraw-Hill, 1979, xiii + 298 pp., $39.95.

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

  • 1. W. Davis, T. Figiel, W. Johnson, and A. Pełczyński, Factoring weakly compact operators, J. Funct Anal. 17 (1974), 311-327. MR 355536
  • 2. M. DeWilde, Closed graph theorems and webbed spaces, London-San Francisco-Melbourne, 1978.
  • 3. N. Dunford and J. T. Schwartz, Linear operators. I, Interscience, New York, 1958.
  • 4. A. Grothendieck, Topological vector-spaces, Gorden & Breach, New York-London-Paris, 1973. MR 372565
  • 5. A. Grothendieck, Products tensoriels topologiques et espaces nucléaires, Mem. Amer. Math. Soc. No. 16 (1955). MR 75539
  • 6. A. Grothendieck, Résumé de la théorie métrique des produits tensoriels topologiques, Bol. Soc. Mat. Sào. Paulo 8 (1953), 1-79. MR 94682
  • 7. P. Halmos, Measure theory, Princeton Univ. Press, Princeton, N. J., 1961.
  • 8. J. Horváth, Review of Grothendieck's "Topological vector spaces", Bull. Amer. Math. Soc. 84 (1976), 515-521.
  • 9. J. Horváth, Topological vector spaces and distributions. I, Addison-Wesley, Reading, Mass., 1966. MR 205028
  • 10. J. L. Kelley and I. Namioka, Linear topological spaces, Van Nostrand, Princeton, N. J., 1963. MR 166578
  • 11. G. Köthe, Topological vector spaces. I, Springer-Verlag, Berlin-Heidelberg-New York, 1969. MR 248498
  • 12. J. Lindenstrauss and A. Pełczyński, Absolutely summing operators in L, Studia Math. 29 (1968), 275-326. MR 231188
  • 13. J. Lindenstrauss and L. Tzafriri, Classical Banach spaces. I, Lecture Notes in Math., Vol. 338, Springer-Verlag, Berlin-Heidelberg-New Tork, 1977. MR 500056
  • 14. Albrecht Pietsch, Operator ideals, North-Holland Mathematical Library, vol. 20, North-Holland Publishing Co., Amsterdam-New York, 1980. Translated from German by the author. MR 582655
  • 15. A. Pietsch (translated by W. Ruckle), Nuclear locally convex spaces, Springer-Verlag, Berlin-Heidelberg-New York, 1972. MR 350360
  • 16. W. Rudin, Real and complex analysis, McGraw-Hill, New York and London, 1970.
  • 17. W. Ruess, Halbnorm-Dualitat und induktive Limestopologien in die Theorie lokalkonvexer Räume, Habil. schr. Univ. Bonn, 1976.
  • 18. H. H. Schaefer, Topological vector spaces, Macmillan, New York-Heidelberg-Berlin, 1971.
  • 19. A. Wilansky, Functional analysis, Blaisdell, Waltham, Mass., 1964. MR 170186
  • 20. M. Zippin, The separable extension problem, Israel J. Math. 26 (1977), 372-387. MR 442649

Review Information:

Reviewer: James R. Retherford
Journal: Bull. Amer. Math. Soc. 7 (1982), 612-615
DOI: https://doi.org/10.1090/S0273-0979-1982-15069-8
American Mathematical Society