Abstract
In this note one investigates the properties of subspaces G of C(S), such that G1 is “not a very large part” of the space C(S)*. The fundamental result is: if G1 is reflexive, then every operator from G* into ℓ2 is absolutely summable.
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Additional information
Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 65, pp. 192–195, 1976.
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Kislyakov, S.V. Spaces with “small” annihilators. J Math Sci 16, 1181–1184 (1981). https://doi.org/10.1007/BF02427730
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DOI: https://doi.org/10.1007/BF02427730