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

Voir la notice de l'article provenant de la source Cambridge University Press

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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[1] 1. Aron, R. M. and Asthagiri, R. K., Weak Continuity of Mappings Between Spaces of Compact Operators, accepted for publication in Portugalia Mathematica. Google Scholar

[2] 2. Collins, H. S. and Ruess, W., Dual of Spaces of Operators, Studia Math 74 (1982), pp. 213–245. Google Scholar

[3] 3. Diestel, J. A., A Survey of the Results Related to the Dunford-Pettis Property, Contemporary Mathematics, 2, pp 15–60, A.M.S. publication, (1980). Google Scholar

[4] 4. Kalton, N. J., Spaces of Compact Operators, Math. Ann. 208, pp. 267–278 (1974). Google Scholar

[5] 5. Lewis, D. R., Conditional Weak Compactness in Certain Inductive Tensor Products, Math. Ann. 201, pp. 201–209(1973). Google Scholar

[6] 6. Rajappa, A. K., (Asthagiri, R. K.) Weak Continuity of Nonlinear Maps Between Banach Spaces, Dissertation, Kent State University, August, 1985. Google Scholar

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