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Note on compact sets of compact operators on a reflexive and separable Banach space

Author(s): Fernando Galaz-Fontes
Journal: Proc. Amer. Math. Soc. 126 (1998), 587-588.
MSC (1991): Primary 47B07, 46B99
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Abstract: We give a criterion for a subset of the space of compact linear operators from a separable and reflexive Banach $X$ into a Banach space $Y$ to be compact.

References:

1.: J. Dieudonné, Foundations of Modern Analysis. Academic Press, New York, 1960. MR 22:11074
2.: W. Rudin, Functional Analysis. Mc-Graw-Hill, New York, 1973. MR 51:1315
3.: K. Vala, Compact set of compact operators. Ann. Acad. Sci. Fenn. Ser. A I 351(1964), 1-9. MR 29:6333


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