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Borel type of the convergence set of a sequence of bounded linear operators in a Banach space

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Abstract

The connection between the Borel type of the convergence set of a sequence of bounded linear operators, acting from one Banach space into another, and the linear-topological properties of this second space is studied.

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Additional information

Translated from Teoriya Funktsii, Funktsional'nyi Analiz i Ikh Prilozheniya, No. 50, pp. 90–98, 1988.

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Fonf, V.P. Borel type of the convergence set of a sequence of bounded linear operators in a Banach space. J Math Sci 49, 1301–1306 (1990). https://doi.org/10.1007/BF02209178

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  • DOI: https://doi.org/10.1007/BF02209178

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