| Title:
|
Domination and equivalence of sequences of subspaces in dual spaces (English) |
| Author:
|
Jain, P. K. |
| Author:
|
Ahmad, Khalil |
| Author:
|
Maskey, S. M. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
36 |
| Issue:
|
3 |
| Year:
|
1986 |
| Pages:
|
351-357 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
46B10 |
| MSC:
|
46B15 |
| idZBL:
|
Zbl 0627.46012 |
| idMR:
|
MR847765 |
| DOI:
|
10.21136/CMJ.1986.102098 |
| . |
| Date available:
|
2008-06-09T15:11:07Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102098 |
| . |
| Reference:
|
[1] Arsove M. G.: Similar bases and isomorphisms in Frechet spaces.Math. Ann. 135 (1958), 283-293. Zbl 0081.10901, MR 0100788, 10.1007/BF01343244 |
| Reference:
|
[2] Bachelis G. F.: Homomorphisms of annihilator Banach algebras.Pacific J. Math. 25 (1968), 229-247. Zbl 0164.15701, MR 0244762, 10.2140/pjm.1968.25.229 |
| Reference:
|
[3] Banach S.: Théorie des opérations linéaires.Monografje Matematyczne, Warszawa, 1932. Zbl 0005.20901 |
| Reference:
|
[4] Gohberg I. C., Markus A. S.: On stability of bases of Banach and Hilbert spaces.Izv. Akad. Nauk. Mold. SSR, 5 (1962), 17-35 (Russian). MR 0226365 |
| Reference:
|
[5] Gupta M., Kamthan P. K., Rao K. L. N.: Generalised Köthe sequence spaces and decompositions.Ann. Math. Pure Appl., 113 (1977), 287-301. MR 0467245, 10.1007/BF02418378 |
| Reference:
|
[6] Gupta M., Kamthan P. K., Patterson J.: Duals of generalised sequence spaces.J. Math. Anal. Appl., 82 (1981), 152-168. MR 0626746, 10.1016/0022-247X(81)90230-4 |
| Reference:
|
[7] Jain P. K., Ahmad K.: Unconditional Schauder decompositions and best approximations in Banach spaces.Indian J. Pure Appl. Math., 12 (1981), 1456-1467. Zbl 0501.46014, MR 0639097 |
| Reference:
|
[8] Jain P. K., Ahmad K., Maskey S. M.: Domination of sequences of subspaces in Banach spaces.(Communicated). Zbl 0615.46015 |
| Reference:
|
[9] Kamthan P. K., Gupta M.: Sequence spaces and series.Marcel Dekker Inc., New York (1981). Zbl 0447.46002, MR 0606740 |
| Reference:
|
[10] Marti J. T.: Introduction to the theory of bases.Springer-Verlag, Berlin (1969). Zbl 0191.41301, MR 0438075 |
| Reference:
|
[11] Retherford J. R.: Basic sequences and the Paley-Wiener criterion.Pacific J. Math. 14 (1964), 1019-1027. Zbl 0182.16502, MR 0170195, 10.2140/pjm.1964.14.1019 |
| Reference:
|
[12] Singer I.: Some remarks on domination of sequences.Math. Ann. 184 (1970), 113-132. Zbl 0195.12803, MR 0253022, 10.1007/BF01350313 |
| Reference:
|
[13] Singer I.: Bases in Banach spaces I.Springer-Verlag, Berlin (1970). Zbl 0198.16601, MR 0298399 |
| Reference:
|
[14] Singer I.: Bases in Banach spaces II.Springer-Verlag, Berlin (1981). Zbl 0467.46020, MR 0610799 |
| Reference:
|
[15] Veic B. E.: On some stability properties of bases.Dokl. Akad. Nauk. SSSR, 158 (1964), 13-16 (Russian). MR 0177281 |
| Reference:
|
[16] Veic B. E.: Besselian and Hilbertian systems in Banach spaces and problems of stability.Izv. vys. uč. zaved. Mathematika, 2 (45), (1965), 7-23 (Russian). MR 0192323 |
| . |
