Bulletin of the American Mathematical Society

MathSciNet review: 1567513
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Book Information:

Author: 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.

C. Bessaga and A. Pełczyński, Spaces of continuous functions. IV. On isomorphical classification of spaces of continuous functions, Studia Math. 19 (1960), 53–62. MR 113132, DOI 10.4064/sm-19-1-53-62

Z. Ciesielski, Hölder conditions for realizations of Gaussian processes, Trans. Amer. Math. Soc. 99 (1961), 403–413. MR 132591, DOI 10.1090/S0002-9947-1961-0132591-2

Per Enflo, A counterexample to the approximation problem in Banach spaces, Acta Math. 130 (1973), 309–317. MR 402468, DOI 10.1007/BF02392270

B. R. Gelbaum and J. Gil de Lamadrid, Bases of tensor products of Banach spaces, Pacific J. Math. 11 (1961), 1281–1286. MR 147881

L. A. Gurevič, On a basis in the space of continuous functions defined on a closed bounded set in $n$-dimensional space, Voronež. Gos. Univ. Trudy Fiz.-Mat. Sb. 27 (1954), 84–87 (Russian). MR 0075554

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, DOI 10.1007/BF02771464

A. A. Miljutin, 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. (1 foldout) (Russian). MR 0206695

F. S. Baher, On a basis in the space of continuous functions defined on a compactum, Dokl. Akad. Nauk SSSR (N.S.) 101 (1955), 589–592 (Russian). MR 0069394

1.

C. Bessaga and A. Pelczyński, Spaces of continuous functions. IV, Studia Math. 19 (1960), 53-62. MR 0113132

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