Continuous extension of sequentially continuous linear functionals in inductive limits of normed spaces

Stan K. Kranzler; T. S. McDermott

Czechoslovak Mathematical Journal (1975)

  • Volume: 25, Issue: 2, page 190-201
  • ISSN: 0011-4642

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Kranzler, Stan K., and McDermott, T. S.. "Continuous extension of sequentially continuous linear functionals in inductive limits of normed spaces." Czechoslovak Mathematical Journal 25.2 (1975): 190-201. <http://eudml.org/doc/12855>.

@article{Kranzler1975,
author = {Kranzler, Stan K., McDermott, T. S.},
journal = {Czechoslovak Mathematical Journal},
language = {eng},
number = {2},
pages = {190-201},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Continuous extension of sequentially continuous linear functionals in inductive limits of normed spaces},
url = {http://eudml.org/doc/12855},
volume = {25},
year = {1975},
}

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
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 25
IS - 2
SP - 190
EP - 201
LA - eng
UR - http://eudml.org/doc/12855
ER -

References

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  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. (1965) MR0194889
  2. Hogbe-Nlend H., Théorie des homologies et applictions, Lecture Notes in Mathematics, Springer-Verlag, Berlin (1971). (1971) MR0625157
  3. Horváth John, Topological vector spaces and distributions, vol. 1, Addison Wesley, Reading (1966). (1966) MR0205028
  4. Kranzler S., McDermott T., Extending continuous linear functional in convergence inductive limit spaces, Proc. Amer. Math. Soc, to appear. MR0333639
  5. Kranzler S., McDermott T., Extending continuous linear functional in convergence vector spaces, Trans. Amer. Math. Soc, to appear. MR0407557
  6. Pták V., Openness of linear mappings in LF-spaces, Czechoslovak Math. J., vol. 19 (1969), 547-552. (1969) MR0625314
  7. Pták V.., Extension of sequentially continuous functional in inductive limits of Banach spaces, Czechoslovak Math. J., vol. 20 (1970), 112-121. (1970) MR0415262
  8. Retah V. S., On the dual of a subspace of a countable inductive limit, Sov. Math. Dokl., 10 (1969), 39-41. (1969) Zbl0179.45405MR0238058
  9. Retah V. S., Subspaces of a countable inductive limit, Sov. Math. Dokl., 11 (1970), 1384-1386. (1970) MR0284794
  10. Retah V. S., On the moment problem in locally convex spaces, Sov. Math. Dokl., 14 (1973) 467-469. (1973) Zbl0288.46001
  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. (1966) 
  12. Slowikowskî W., 10.4064/sm-40-2-183-198, , Studia Math., t. 40 (1971), 183-250. (1971) MR0320774DOI10.4064/sm-40-2-183-198
  13. Valdivia M., 10.1007/BF01433469, Math. Ann., vol. 191 (1971), 38-43. (191) MR0280975DOI10.1007/BF01433469
  14. Waelhroeck L., 10.1016/0022-1236(67)90009-2, J. Functional Analysis, vol. 1 (1967), 392-408. (1967) MR0220040DOI10.1016/0022-1236(67)90009-2

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