Fréchet spaces of continuous vector-valued functions: Complementability in dual Fréchet spaces and injectivity
Studia Mathematica, Tome 102 (1992) no. 3, pp. 257-267
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
Fréchet spaces of strongly, weakly and weak*-continuous Fréchet space valued functions are considered. Complete solutions are given to the problems of their injectivity or embeddability as complemented subspaces in dual Fréchet spaces.
Keywords:
Fréchet spaces of (weakly, weak*) continuous vector-valued functions injective Fréchet spaces, spaces complemented in dual Fréchet spaces, complemented copies of $c_0$, Josefson-Nissenzweig theorem
Affiliations des auteurs :
P. Domański 1
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author = {P. Doma\'nski},
title = {Fr\'echet spaces of continuous vector-valued functions: {Complementability} in dual {Fr\'echet} spaces and injectivity},
journal = {Studia Mathematica},
pages = {257--267},
publisher = {mathdoc},
volume = {102},
number = {3},
year = {1992},
doi = {10.4064/sm-102-3-257-267},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-102-3-257-267/}
}
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P. Domański. Fréchet spaces of continuous vector-valued functions: Complementability in dual Fréchet spaces and injectivity. Studia Mathematica, Tome 102 (1992) no. 3, pp. 257-267. doi: 10.4064/sm-102-3-257-267
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