Unconditional bases and best approximation in Banach spaces
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- by J. R. Retherford and R. C. James PDF
- Bull. Amer. Math. Soc. 75 (1969), 108-112
References
- Mahlon M. Day, Strict convexity and smoothness of normed spaces, Trans. Amer. Math. Soc. 78 (1955), 516–528. MR 67351, DOI 10.1090/S0002-9947-1955-0067351-1
- V. N. Nikol′skiĭ, Best approximation and basis in Fréchet space, Doklady Akad. Nauk SSSR (N. S.) 59 (1948), 639–642 (Russian). MR 0026243
- 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
- J. R. Retherford, On Čebyšev subspaces and unconditional bases in Banach spaces, Bull. Amer. Math. Soc. 73 (1967), 238–241. MR 208342, DOI 10.1090/S0002-9904-1967-11698-7
- J. R. Retherford, Schauder bases and best approximation, Colloq. Math. 22 (1970), 91–110. (errata insert). MR 273374, DOI 10.4064/cm-22-1-91-110
- I. Singer, On a theorem of I. M. Gel′fand, Uspehi Mat. Nauk 17 (1962), no. 1 (103), 169–176 (Russian). MR 0133670
- Ivan Singer, Bases in Banach spaces. I, Acad. R. P. Romîne. Stud. Cerc. Mat. 14 (1963), 533–585 (Romanian, with English and Russian summaries). MR 190709
Additional Information
- Journal: Bull. Amer. Math. Soc. 75 (1969), 108-112
- DOI: https://doi.org/10.1090/S0002-9904-1969-12163-4
- MathSciNet review: 0276735