scholarly journals Complex strict convexity of absolute norms on Cn and direct sums of Banach spaces

2006 ◽  
Vol 323 (2) ◽  
pp. 930-937 ◽  
Author(s):  
Patrick N. Dowling ◽  
Barry Turett
Keyword(s):  
Banach Spaces ◽  
Strict Convexity ◽  
Direct Sums

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

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

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 Characterizations of fixed points of nonexpansive mappings

2005 ◽  
Vol 2005 (11) ◽  
pp. 1723-1735 ◽  
Author(s):  
Tomonari Suzuki
Keyword(s):  
Banach Space ◽  
Nonexpansive Mapping ◽  
Fixed Points ◽  
Banach Spaces ◽  
Nonexpansive Mappings ◽  
Strict Convexity ◽  
Banach Limit ◽  
Banach Limits

Using the notion of Banach limits, we discuss the characterization of fixed points of nonexpansive mappings in Banach spaces. Indeed, we prove that the two sets of fixed points of a nonexpansive mapping and some mapping generated by a Banach limit coincide. In our discussion, we may not assume the strict convexity of the Banach space.

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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