Article
Keywords:
completeness; barrelledness; weakly unconditionally Cauchy series
Summary:
References:
[aizp] A. Aizpuru and F. J. Pérez-Fernández:
Spaces of $\mathcal{S}$-bounded multiplier convergent series. Acta Math. Hungar. 87 (2000), 103–114.
MR 1755883
[BP58a] C. Bessaga and A. Pelczynski:
On bases and unconditional convergence of series in Banach spaces. Stud. Math. 17 (1958), 151–164.
MR 0115069
[Diestel] J. Diestel:
Sequences and Series in Banach Spaces. Springer-Verlag, New York, 1984.
MR 0737004
[Kadets91] V. M. Kadets and M. I. Kadets:
Rearrangements of Series in Banach Spaces. Translations of Mathematical Monographs. 86. Amer. Math. Soc., Providence, 1991.
MR 1108619
[Mc56] C. W. McArthur:
On relationships amongst certain spaces of sequences in an arbitrary Banach space. Canad. J. Math. 8 (1956), 192–197.
MR 0078662 |
Zbl 0074.32305
[Qingying] Q. Bu and C. Wu:
Unconditionally convergent series of operators on Banach spaces. J. Math. Anal. Appl. 207 (1997), 291–299.
MR 1438915
[Li] R. Li and Q. Bu:
Locally convex spaces containing no copy of $c_0$. J. Math. Anal. Appl. 172 (1993), 205–211.
MR 1199505