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Book Review
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Book Information
Author(s):
Zbigniew Semadeni
Title:
Schauder bases in Banach spaces of continuous functions
Additional book information:
Lecture Notes in Mathematics, vol. 918, Springer-Vedag, Berlin, 1982, v + 135 pp., $9.80. ISBN 3-5401-1481-5
References:
- 1.
- C. Bessaga and A. Pelczyński, Spaces of continuous functions. IV, Studia Math. 19 (1960), 53-62. MR 113132
- 2.
- Z. Ciesielski, Hölder conditions for realization of Gaussian processes, Trans. Amer. Math. Soc. 99 (1961), 403-413. MR 132591
- 3.
- P. Enflo, A counterexample to the approximation property in Banach spaces, Acta Math. 130 (1973), 309-317. MR 402468
- 4.
- B. Gelbaum and J. Gil de Lamadrid, Bases of tensor products of Banach spaces, Pacific J. Math. 11 (1961), 1281-1286. MR 147881
- 5.
- L. A. Gurevič, On a basis in the space of continuous functions defined on a closed bounded set in n-dimensional space, Trudy Voronež. Gos. Univ. 27 (1954), 84-87. (Russian) MR 75554
- 6.
- W. B. Johnson, H. P. Rosenthal and M. Zippin, On bases, finite dimensional decompositions and weaker structures in Banach spaces, Israel J. Math. 9 (1971), 488-506. MR 280983
- 7.
- A. A. Miliutin, Isomorphism of the spaces of continuous functions over compact sets of the cardinality of the continuum, Teor. Funkciĭ Funkcional Anal. i Priložen. Vyp. 2 (1966), 150-156. (Russian) MR 206695
- 8.
- F. S. Vaher, On a basis in the space of continuous functions defined on a compactum, Dokl. Akad. Nauk SSSR 101 (1955), 589-592. (Russian) MR 69394
Additional Information:
Reviewer(s):
Stanislaw J.
Szarek
Review Information:
Journal:
Bull. Amer. Math. Soc.
11
(1984),
244-246.
DOI:
10.1090/S0273-0979-1984-15285-6
PII:
S 0273-0979(1984)15285-6
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