Iterated series and the Hellinger-Toeplitz theorem.
Publicacions Matemàtiques (1992)
- Volume: 36, Issue: 1, page 167-173
- ISSN: 0214-1493
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topSwartz, Charles. "Iterated series and the Hellinger-Toeplitz theorem.." Publicacions Matemàtiques 36.1 (1992): 167-173. <http://eudml.org/doc/41161>.
@article{Swartz1992,
abstract = {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.},
author = {Swartz, Charles},
journal = {Publicacions Matemàtiques},
keywords = {Operadores; Espacio de sucesiones; Series dobles; Convergencia; Antosik condition; double series; Schur lemma; Hellinger-Toeplitz theorem; Banach-Steinhaus property},
language = {eng},
number = {1},
pages = {167-173},
title = {Iterated series and the Hellinger-Toeplitz theorem.},
url = {http://eudml.org/doc/41161},
volume = {36},
year = {1992},
}
TY - JOUR
AU - Swartz, Charles
TI - Iterated series and the Hellinger-Toeplitz theorem.
JO - Publicacions Matemàtiques
PY - 1992
VL - 36
IS - 1
SP - 167
EP - 173
AB - 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.
LA - eng
KW - Operadores; Espacio de sucesiones; Series dobles; Convergencia; Antosik condition; double series; Schur lemma; Hellinger-Toeplitz theorem; Banach-Steinhaus property
UR - http://eudml.org/doc/41161
ER -
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