Weyl multipliers for the unconditional convergence of series in a Franklin system

1987 ◽  
Vol 41 (6) ◽  
pp. 446-451 ◽  
Author(s):  
G. G. Gevorkyan
Keyword(s):  
Unconditional Convergence ◽  
Franklin System ◽  
Convergence Of Series

Strong factorization of operators on spaces of vector measure integrable functions and unconditional convergence of series

2007 ◽  
Vol 257 (2) ◽  
pp. 381-402 ◽  
Author(s):  
J. M. Calabuig ◽  
F. Galaz-Fontes ◽  
E. Jiménez-Fernández ◽  
E. A. Sánchez Pérez
Keyword(s):  
Vector Measure ◽  
Unconditional Convergence ◽  
Convergence Of Series ◽  
Integrable Functions

scholarly journals On bases and unconditional convergence of series in Banach spaces

1958 ◽  
Vol 17 (2) ◽  
pp. 151-164 ◽  
Author(s):  
C. Bessaga ◽  
A. Pełczyński
Keyword(s):  
Banach Spaces ◽  
Unconditional Convergence ◽  
Convergence Of Series

scholarly journals A Riemann type theorem for series of operators on Banach spaces

2003 ◽  
Vol 68 (1) ◽  
pp. 13-20
Author(s):  
A. Aizpuru ◽  
A. Gutiérrez-Dávila ◽  
A. Sala
Keyword(s):  
Banach Spaces ◽  
Type Theorem ◽  
Sufficient Conditions ◽  
Compact Operators ◽  
Unconditional Convergence ◽  
Convergence Of Series ◽  
Vector Sequences ◽  
Cauchy Series

We study Kalton's theorem on the unconditional convergence of series of compact operators and we use some matrix techniques to obtain sufficient conditions, weaker than previous ones, on the convergence and unconditional convergence of series of compact operators. Finally, we characterise weak unconditionally Cauchy series in Cℒ(X, Y) in the terms of certain spaces of vector sequences.

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