|
On Čebyšev subspaces and unconditional bases in Banach spaces
Author(s):
J. R.
Retherford
Journal:
Bull. Amer. Math. Soc.
73
(1967),
238-241.
MathSciNet review:
0208342
Retrieve article in:
PDF
References |
Additional information
References:
- 1.
- C. Bessaga and A. Pełczynski, On bases and unconditional convergence of series in Banach spaces, Studia Math. 17 (1958), 151-164. MR 115069
- 2.
- M. M. Day, Normed linear spaces, Springer, Berlin, 1962.
- 3.
- I. M. Gelfand, Remark on the work of N. K. Bari, "Biorthogonal systems and bases in Hilbert space," Moskov. Gos. Univ. Učen. Zap. 148, Mathematika 4 (1951), 224-225 (Russian). MR 50172
- 4.
- M. M. Grimblyum, On the representation of a space of type B in the form of a direct sum of subspaces, Dokl. Akad. Nauk. SSSR 70 (1950), 749-752 (Russian). MR 33977
- 5.
- V. Istratescu, Über die Banachräume mit Zahlbarer Basis. I, Rev. Math. Pures Appl. 7 (1962), 481-482. MR 178332
- 6.
- C. W. McArthur and J. R. Retherford, Some applications of an inequality in locally convex spaces, Trans. Amer. Math. Soc. (to appear). MR 239391
- 7.
- V. N. Nikol'skiĭ, Best approximation and basis in Fréchet spaces, Dokl. Akad. Nauk. SSSR 59 (1948), 639-692 (Russian). MR 26243
- 8.
- V. N. Nikol'skiĭ, Some questions of best approximation in function spaces, Učen. Zap. Kalininsk. State Ped. Inst. 16 (1953), 119-160 (Russian). MR 71728
- 9.
- R. R. Phelps, Čebyšev subspaces of finite codimension in C(X), Pacific J. Math. 13(1963), 647-655. MR 156137
- 10.
- I. Singer, On a theorem of I. M. Gelfand, Uspehi Mat. Nauk. 17 (1962), no. 1 (103), 169-176 (Russian). MR 133670
- 11.
- I. Singer, Baze in spatii Banach. III, Studii şi Cercetari Maternatice 15 (1964), 675-679.
- 12.
- B. E. Veic, Some stability properties of bases, Dokl. Akad. Nauk SSSR 158 (1964), 13-16 = Soviet Math. Dokl. 5 (1964), 1141-1144. MR 177281
Additional Information:
DOI:
10.1090/S0002-9904-1967-11698-7
PII:
S 0002-9904(1967)11698-7
|
