scholarly journals Remarks on the set of norm-attaining functionals and differentiability

2018 ◽  
Vol 241 (1) ◽  
pp. 71-86 ◽  
Author(s):  
Antonio J. Guirao ◽  
Vicente Montesinos ◽  
Vaclav Zizler
Keyword(s):  
Norm Attaining

scholarly journals On norm attaining polynomials

2003 ◽  
Vol 39 (1) ◽  
pp. 165-172 ◽  
Author(s):  
Richard M. Aron ◽  
Domingo García ◽  
Manuel Maestre
Keyword(s):  
Norm Attaining

Norm attaining polynomials

2007 ◽  
Vol 39 (2) ◽  
pp. 255-264 ◽  
Author(s):  
A. Pappas ◽  
Y. Sarantopoulos ◽  
A. Tonge
Keyword(s):  
Norm Attaining

Spaceability in norm-attaining sets

2017 ◽  
Vol 11 (1) ◽  
pp. 90-107 ◽  
Author(s):  
Javier Falcó ◽  
Domingo García ◽  
Manuel Maestre ◽  
Pilar Rueda
Keyword(s):  
Norm Attaining

scholarly journals A NOTE ON L2-SUMMAND VECTORS IN DUAL SPACES

2008 ◽  
Vol 50 (3) ◽  
pp. 429-432 ◽  
Author(s):  
ANTONIO AIZPURU ◽  
FRANCISCO J GARCÍA-PACHECO
Keyword(s):  
Banach Space ◽  
Banach Spaces ◽  
Real Banach Space ◽  
Dual Spaces ◽  
Equivalent Norms ◽  
Norm Attaining

AbstractIt is shown that every L2-summand vector of a dual real Banach space is a norm-attaining functional. As consequences, the L2-summand vectors of a dual real Banach space can be determined by the L2-summand vectors of its predual; for every n ∈ , every real Banach space can be equivalently renormed so that the set of norm-attaining functionals is n-lineable; and it is easy to find equivalent norms on non-reflexive dual real Banach spaces that are not dual norms.

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