Countable Direct Sums of Banach Spaces

1989 ◽  
Vol 141 (1) ◽  
pp. 73-79
Author(s):  
M. Valdivia
Keyword(s):  
Banach Spaces ◽  
Direct Sums

scholarly journals Deviation from weak Banach–Saks property for countable direct sums

2014 ◽  
Vol 68 (2) ◽  
Author(s):  
Andrzej Kryczka
Keyword(s):  
Banach Spaces ◽  
Linear Operators ◽  
Bounded Linear Operators ◽  
Direct Sums ◽  
Bounded Linear

AbstractWe introduce a seminorm for bounded linear operators between Banach spaces that shows the deviation from the weak Banach-Saks property. We prove that if (X

Strict convexity of absolute norms on and direct sums of banach spaces

2002 ◽  
Vol 2002 (2) ◽  
pp. 209507 ◽  
Author(s):  
Yasuji Takahashi ◽  
Mikio Kato ◽  
Kichi-Suke Saito
Keyword(s):  
Banach Spaces ◽  
Strict Convexity ◽  
Direct Sums

Multiplicity of direct sums of operators on Banach spaces

2009 ◽  
Vol 41 (6) ◽  
pp. 1041-1052
Author(s):  
Sophie Grivaux ◽  
Maria Roginskaya
Keyword(s):  
Banach Spaces ◽  
Direct Sums

scholarly journals Proximinality in generalized direct sums

2004 ◽  
Vol 2004 (67) ◽  
pp. 3663-3670
Author(s):  
Darapaneni Narayana ◽  
T. S. S. R. K. Rao
Keyword(s):  
Banach Spaces ◽  
Finite Codimension ◽  
Direct Sums

We consider proximinality and transitivity of proximinality for subspaces of finite codimension in generalized direct sums of Banach spaces. We give several examples of Banach spaces where proximinality is transitive among subspaces of finite codimension.

scholarly journals On projections and unconditional bases in direct sums of Banach spaces

1976 ◽  
Vol 56 (3) ◽  
pp. 263-276 ◽  
Author(s):  
I. Edelstein ◽  
P. Wojtaszczyk
Keyword(s):  
Banach Spaces ◽  
Direct Sums ◽  
Unconditional Bases
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