Unconditional bases and best approximation in Banach spaces
Authors:
J. R. Retherford and R. C. James
Journal:
Bull. Amer. Math. Soc. 75 (1969), 108-112
DOI:
https://doi.org/10.1090/S0002-9904-1969-12163-4
MathSciNet review:
0276735
Full-text PDF Free Access
References | Additional Information
- 1. Mahlon M. Day, Strict convexity and smoothness of normed spaces, Trans. Amer. Math. Soc. 78 (1955), 516–528. MR 67351, https://doi.org/10.1090/S0002-9947-1955-0067351-1
- 2. V. N. Nikol′skiĭ, Best approximation and basis in Fréchet space, Doklady Akad. Nauk SSSR (N. S.) 59 (1948), 639–642 (Russian). MR 0026243
- 3. V. N. Nikol′skiĭ, Some questions of best approximation in a function space, Uč. Zap. Kalininsk. Pedagog. Inst. 16 (1953), 119–160 (1954) (Russian). MR 0071728
- 4. J. R. Retherford, On Čebyšev subspaces and unconditional bases in Banach spaces, Bull. Amer. Math. Soc. 73 (1967), 238–241. MR 208342, https://doi.org/10.1090/S0002-9904-1967-11698-7
- 5. J. R. Retherford, Schauder bases and best approximation, Colloq. Math. 22 (1970), 91–110. (errata insert). MR 273374, https://doi.org/10.4064/cm-22-1-91-110
- 6. I. Singer, On a theorem of I. M. Gel′fand, Uspehi Mat. Nauk 17 (1962), no. 1 (103), 169–176 (Russian). MR 0133670
- 7. Ivan Singer, Bases in Banach spaces. II, III, Stud. Cerc. Mat. 15 (1964), 157–208; ibid. 16 (1964), 675–725 (Romanian). MR 0190710
Additional Information
DOI:
https://doi.org/10.1090/S0002-9904-1969-12163-4