Geodesic
Continuous extension of sequentially continuous linear functionals in inductive limits of normed spaces
Czechoslovak Mathematical Journal, Tome 25 (1975) no. 2, pp. 190-201
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

DOI : 10.21136/CMJ.1975.101310
Classification : 46A05, 46M10 
@article{10_21136_CMJ_1975_101310,
     author = {Kranzler, Stan K. and McDermott, T. S.},
     title = {Continuous extension of sequentially continuous linear functionals in inductive limits of normed spaces},
     journal = {Czechoslovak Mathematical Journal},
     pages = {190--201},
     year = {1975},
     volume = {25},
     number = {2},
     doi = {10.21136/CMJ.1975.101310},
     mrnumber = {0467229},
     zbl = {0337.46005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1975.101310/}
}
TY  - JOUR
AU  - Kranzler, Stan K.
AU  - McDermott, T. S.
TI  - Continuous extension of sequentially continuous linear functionals in inductive limits of normed spaces
JO  - Czechoslovak Mathematical Journal
PY  - 1975
SP  - 190
EP  - 201
VL  - 25
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1975.101310/
DO  - 10.21136/CMJ.1975.101310
LA  - en
ID  - 10_21136_CMJ_1975_101310
ER  - 
%0 Journal Article
%A Kranzler, Stan K.
%A McDermott, T. S.
%T Continuous extension of sequentially continuous linear functionals in inductive limits of normed spaces
%J Czechoslovak Mathematical Journal
%D 1975
%P 190-201
%V 25
%N 2
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1975.101310/
%R 10.21136/CMJ.1975.101310
%G en
%F 10_21136_CMJ_1975_101310
Kranzler, Stan K.; McDermott, T. S. Continuous extension of sequentially continuous linear functionals in inductive limits of normed spaces. Czechoslovak Mathematical Journal, Tome 25 (1975) no. 2, pp. 190-201. doi: 10.21136/CMJ.1975.101310

[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

[2] Hogbe-Nlend H.: Théorie des homologies et applictions. Lecture Notes in Mathematics, Springer-Verlag, Berlin (1971). | MR

[3] Horváth John: Topological vector spaces and distributions. vol. 1, Addison Wesley, Reading (1966). | MR

[4] Kranzler S., McDermott T.: Extending continuous linear functional in convergence inductive limit spaces. Proc. Amer. Math. Soc, to appear. | MR

[5] Kranzler S., McDermott T.: Extending continuous linear functional in convergence vector spaces. Trans. Amer. Math. Soc, to appear. | MR

[6] Pták V.: Openness of linear mappings in LF-spaces. Czechoslovak Math. J., vol. 19 (1969), 547-552. | MR

[7] Pták V.. : Extension of sequentially continuous functional in inductive limits of Banach spaces. Czechoslovak Math. J., vol. 20 (1970), 112-121. | MR

[8] Retah V. S.: On the dual of a subspace of a countable inductive limit. Sov. Math. Dokl., 10 (1969), 39-41. | MR | Zbl

[9] Retah V. S.: Subspaces of a countable inductive limit. Sov. Math. Dokl., 11 (1970), 1384-1386. | MR

[10] Retah V. S.: On the moment problem in locally convex spaces. Sov. Math. Dokl., 14 (1973) 467-469. | Zbl

[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.

[12] Slowikowskî W.: Range of operators and regularity of solutions. Studia Math., t. 40 (1971), 183-250. | DOI | MR

[13] Valdivia M.: On DF-spaces. Math. Ann., vol. 191 (1971), 38-43. | DOI | MR

[14] Waelhroeck L.: Some theorems about bounded structures. J. Functional Analysis, vol. 1 (1967), 392-408. | DOI | MR

Cité par Sources :