Iterated series and the Hellinger-Toeplitz theorem.
Swartz, Charles
Publicacions Matemàtiques, Tome 36 (1992), p. 167-173 / Harvested from Biblioteca Digital de Matemáticas
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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.

Publié le : 1992-01-01
DMLE-ID : 3708 
@article{urn:eudml:doc:41161,
     title = {Iterated series and the Hellinger-Toeplitz theorem.},
     journal = {Publicacions Matem\`atiques},
     volume = {36},
     year = {1992},
     pages = {167-173},
     zbl = {0766.40002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41161}
}

Swartz, Charles. Iterated series and the Hellinger-Toeplitz theorem.. Publicacions Matemàtiques, Tome 36 (1992) pp. 167-173. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41161/