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Linear operators on c\(_X\). (English) Zbl 0262.47028


MSC:

47B99 Special classes of linear operators
46E40 Spaces of vector- and operator-valued functions
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References:

[1] J. Batt: Applications of the Orlicz-Pettis Theorem to Operator-Valued Measures and Compact and Weakly Compact Linear Transformations on the Space of Continuous Functions. Rev. Roum. Math. Pure et Appl. 14 (1969), 907-935. · Zbl 0189.43001
[2] C. Bessaga, A. Pelczynski: On Bases und Unconditional Convergence of Series in Banach Spaces. Studia Math. 17 (1958), 151-164. · Zbl 0084.09805
[3] I. Dobrakov: On Representation of Linear Operators on \(C_{0}(T, X)\). Czech. Math. Jour. 21 (1971), 13-30. · Zbl 0225.47018
[4] N. Dunford, J. Schwartz: Linear Operators. Interscience, 1958. · Zbl 0084.10402
[5] R. E. Edwards: Functional Analysis. Holt, Rinehart, and Winston, 1965. · Zbl 0182.16101
[6] C. Foias, I. Singer: Some Remarks on the Representation of Linear Operators in Spaces of Vector-Valued Continuous Functions. Rev. Roum. Math. Pure et Appl. 5 (1960), 729-752. · Zbl 0102.32302
[7] T. H. Hildebrandt: On Unconditional Convergence in Normed Vector Spaces. Bull. Amer. Math. Soc. 46 (1940), 959-962. · Zbl 0024.41202
[8] C. W. McArthur: A Note on Subseries Convergence. Proc. Amer. Math. Soc. 12 (1961), 540-545. · Zbl 0099.27702
[9] A. Pelczynski: Banach Spaces on Which Every Unconditionally Converging Operator is Weakly Compact. Bull. Acad. Pol. 10 (1962), 641-648. · Zbl 0107.32504
[10] C. Swartz: Unconditionally Converging Operators on the Space of Continuous Functions. submitted to Rev. Roum. Math. Pure et Appl. · Zbl 0247.46047
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