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Book Review
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Book Information
Author(s):
H. Jarchow
Title:
Locally convex spaces
Additional book information:
Teubner, Stuttgart, 1981, 14 + 534 pp., DM 98,--
Author(s):
Albert Wilansky
Title:
Modern methods in topological vector spaces
Additional book information:
McGraw-Hill, 1979, xiii + 298 pp., $39.95
References:
- 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.
- A. Pietsch, Operator ideals, Amsterdam-Oxford-New York, 1980. 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
Additional Information:
Reviewer(s):
James R.
Retherford
Review Information:
Journal:
Bull. Amer. Math. Soc.
7
(1982),
612-615.
DOI:
10.1090/S0273-0979-1982-15069-8
PII:
S 0273-0979(1982)15069-8
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