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Displaying similar documents to “Weak sequential completeness of sequence spaces.”

Iterated series and the Hellinger-Toeplitz theorem.

Charles Swartz (1992)

Publicacions Matemàtiques

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We show that an iterated double series condition due to Antosik implies the uniform convergence of the double series. An application of Antosik's condition is given to the derivation of a vector form of the Hellinger-Toeplitz theorem.