| Title:
|
Biorthogonal systems and bases in Banach space (Preliminary note) (English) |
| Author:
|
Vaníček, J. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
1 |
| Issue:
|
4 |
| Year:
|
1960 |
| Pages:
|
22-27 |
| . |
| Category:
|
math |
| . |
| MSC:
|
46.10 |
| MSC:
|
46Axx |
| . |
| Date available:
|
2008-06-05T20:15:47Z |
| Last updated:
|
2019-02-12 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104881 |
| . |
| Reference:
|
[1] ARSOVE M. G., EDWARDS R. E.: Generalized bases in topological linear spaces.Studia Math. 19 (1960), 95-113. Zbl 0091.27604, MR 0115068, 10.4064/sm-19-1-95-113 |
| Reference:
|
[2] BESSAGA C., PELCZYŇSKI A.: On bases and unconditional convergence of series in Banach spaces.Studia Math. 17 (1958), 151-164. MR 0115069, 10.4064/sm-17-2-151-164 |
| Reference:
|
[3] BESSAGA C., PELCZYŇSKI A.: On generalization of results of R. C. James concerning absolute basis in Banach spaces.Studia Math. 17 (1958), 165-174. MR 0115071 |
| Reference:
|
[4] BURBAKI N.: Espaces vectoriels topologiques.Ch I, II, Paris 1953. |
| Reference:
|
[5] BURBAKI N.: Espaces vectoriels topologiques.Ch III-V, Paris 1953. |
| Reference:
|
[6] DAY M. M.: Normed linear spaces.Berlin - Göttingen - Heidelburg 1958. Zbl 0082.10603, MR 0145316 |
| Reference:
|
[7] FOGUEL S. R.: Biorthogonal systems in Banach spaces.Pacific J. of Math. 7 (1957), 1065-1072. Zbl 0085.32201, MR 0100783, 10.2140/pjm.1957.7.1065 |
| Reference:
|
[8] GELBAUM B. R.: Expansion in Banach spaces.Duke Math. J. 17 (1950), 187-196. MR 0035396, 10.1215/S0012-7094-50-01719-4 |
| Reference:
|
[9] JAMES R. C.: Bases and reflexivity in Banach spaces.Annals of Math. 52 (1950), 518. MR 0039915, 10.2307/1969430 |
| Reference:
|
[10] KARLIN S.: Bases in Banach spaces.Duke Math. J. 15 (1948), 971. Zbl 0032.03102, MR 0029103, 10.1215/S0012-7094-48-01587-7 |
| Reference:
|
[11] KOZLOV B. J.: On generalization of the concept of bases.DAN 47 (1948). |
| Reference:
|
[12] SCHAUDER J.: Zur Theorie stetiger Abbildungen in Funktional Räumen.Math. Z. 26 (1927), 47-65. MR 1544841, 10.1007/BF01475440 |
| Reference:
|
[13] VANÍČEK J., VANÍČKOVÁ H.: The space of holomorphic functions.(Czech with an English summary), Čas. pěst. mat. - sent to press. |
| Reference:
|
[14] VANÍČEK J.: Biorthogonal systems in Banach space.(Czech with an English summary), Acta facult. Rerum Natur. Univ. Comenianae - sent to press. |
| Reference:
|
[15] VANÍČEK J.: Biorthogonal systems and limit methods.(Czech with an English summary), Čas. pěst. mat. - sent to press. |
| Reference:
|
[16] VANÍČEK J.: Approximating sequences in Banach space. |
| Reference:
|
[17] VANÍČEK J.: On the embedding to the space of holomorphic functions.Being prepared for Czech. Math. J. |
| . |
