Geodesic
Weak Continuity of a Composition Map Between Spaces of Compact Operators and Banach Valued Continuous Functions
Canadian mathematical bulletin, Tome 34 (1991) no. 2, pp. 145-146

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DOI

This paper characterizes the Banach space E for the sequential continuity and the continuity on bounded sets of the composition map m: C(S, E)wk x K{E,F)wk —> C(S,F)wk . Here, K(E,F) denotes the Banach space of compact linear operators on the Banach space E to the Banach space F with the usual operator norm, and for any Banach space E, Ewk denote the Banach space E with the weak topology. Also we denote by C(S, E) the Banach space of E valued continuous functions on a nonvoid compact Hausdorff space S with sup norm.
DOI : 10.4153/CMB-1991-024-8
Mots-clés : 46B99, 46E15, 46E40, 47B05. 
Asthagiri, Rajappa K. Weak Continuity of a Composition Map Between Spaces of Compact Operators and Banach Valued Continuous Functions. Canadian mathematical bulletin, Tome 34 (1991) no. 2, pp. 145-146. doi: 10.4153/CMB-1991-024-8
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     author = {Asthagiri, Rajappa K.},
     title = {Weak {Continuity} of a {Composition} {Map} {Between} {Spaces} of {Compact} {Operators} and {Banach} {Valued} {Continuous} {Functions}},
     journal = {Canadian mathematical bulletin},
     pages = {145--146},
     year = {1991},
     volume = {34},
     number = {2},
     doi = {10.4153/CMB-1991-024-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1991-024-8/}
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