Title of article
Boolean algebras and uniform convergence of series ✩
Author/Authors
A. Aizpuru، نويسنده , , A. Gutiérrez-D?vila، نويسنده , , and F.J. Pérez-Fern?ndez، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2003
Pages
8
From page
89
To page
96
Abstract
Several classical results on uniform convergence of unconditionally Cauchy series are generalized
to weakly unconditionally Cauchy series. This uniform convergence is characterized through subalgebras
and subfamilies of P(N). A generalization of the Orlicz–Pettis theorem is also proved by
mean of subalgebras of P(N).
2003 Elsevier Inc. All rights reserved
Keywords
Unconditionally Cauchy series , Weakly unconditionally Cauchy series , Uniform convergence , Boolean algebras
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2003
Journal title
Journal of Mathematical Analysis and Applications
Record number
930705
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