| Title:
|
Continuous extension of sequentially continuous linear functionals in inductive limits of normed spaces (English) |
| Author:
|
Kranzler, Stan K. |
| Author:
|
McDermott, T. S. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
25 |
| Issue:
|
2 |
| Year:
|
1975 |
| Pages:
|
190-201 |
| . |
| Category:
|
math |
| . |
| MSC:
|
46A05 |
| MSC:
|
46M10 |
| idZBL:
|
Zbl 0337.46005 |
| idMR:
|
MR0467229 |
| DOI:
|
10.21136/CMJ.1975.101310 |
| . |
| Date available:
|
2008-06-09T14:11:52Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101310 |
| . |
| Reference:
|
[1] Foias С., Marinescu G.: Fonctionelles linéaires dans les réunions denombrables d'espaces de Banach réflexifs.С. R. Acad. Sci. Paris Ser A-В, t. 261 (1965), 4958-4960. MR 0194889 |
| Reference:
|
[2] Hogbe-Nlend H.: Théorie des homologies et applictions.Lecture Notes in Mathematics, Springer-Verlag, Berlin (1971). MR 0625157 |
| Reference:
|
[3] Horváth John: Topological vector spaces and distributions.vol. 1, Addison Wesley, Reading (1966). MR 0205028 |
| Reference:
|
[4] Kranzler S., McDermott T.: Extending continuous linear functional in convergence inductive limit spaces.Proc. Amer. Math. Soc, to appear. MR 0333639 |
| Reference:
|
[5] Kranzler S., McDermott T.: Extending continuous linear functional in convergence vector spaces.Trans. Amer. Math. Soc, to appear. MR 0407557 |
| Reference:
|
[6] Pták V.: Openness of linear mappings in LF-spaces.Czechoslovak Math. J., vol. 19 (1969), 547-552. MR 0625314 |
| Reference:
|
[7] Pták V.. : Extension of sequentially continuous functional in inductive limits of Banach spaces.Czechoslovak Math. J., vol. 20 (1970), 112-121. MR 0415262 |
| Reference:
|
[8] Retah V. S.: On the dual of a subspace of a countable inductive limit.Sov. Math. Dokl., 10 (1969), 39-41. Zbl 0179.45405, MR 0238058 |
| Reference:
|
[9] Retah V. S.: Subspaces of a countable inductive limit.Sov. Math. Dokl., 11 (1970), 1384-1386. MR 0284794 |
| Reference:
|
[10] Retah V. S.: On the moment problem in locally convex spaces.Sov. Math. Dokl., 14 (1973) 467-469. Zbl 0288.46001 |
| Reference:
|
[11] Slowikowskî W.: Fonctionelles linéaires dans les réunions denombrables d'espaces de Banach réflexifs.С. R. Acad. S¨ci. Paris Ser A-В, t. 262 (1966), 870-872. |
| Reference:
|
[12] Slowikowskî W.: Range of operators and regularity of solutions., Studia Math., t. 40 (1971), 183-250. MR 0320774, 10.4064/sm-40-2-183-198 |
| Reference:
|
[13] Valdivia M.: On DF-spaces.Math. Ann., vol. 191 (1971), 38-43. MR 0280975, 10.1007/BF01433469 |
| Reference:
|
[14] Waelhroeck L.: Some theorems about bounded structures.J. Functional Analysis, vol. 1 (1967), 392-408. MR 0220040, 10.1016/0022-1236(67)90009-2 |
| . |
