Unconditional Convergence of Series in Banach and Hilbert Spaces

2010 ◽  
pp. 87-123
Author(s):  
Christopher Heil
Keyword(s):  
Hilbert Spaces ◽  
Unconditional Convergence ◽  
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.

Gaussian Hilbert Spaces

1997 ◽  
Author(s):  
Svante Janson
Keyword(s):  
Hilbert Spaces

On split equality monotone Yosida variational inclusion and fixed point problems for countable infinite families of certain nonlinear mappings in Hilbert spaces

2020 ◽  
Vol Accepted ◽  
Author(s):  
Oluwatosin Temitope Mewomo ◽  
Hammed Anuoluwapo Abass ◽  
Chinedu Izuchukwu ◽  
Olawale Kazeem Oyewole
Keyword(s):  
Fixed Point ◽  
Hilbert Spaces ◽  
Fixed Point Problems ◽  
Variational Inclusion ◽  
Nonlinear Mappings
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