Geodesic
Norm-attaining polynomials and differentiability
Juan Ferrera1
1 Departamento de Análisis Matemático Universidad Complutense de Madrid 28040 Madrid, Spain
Studia Mathematica, Tome 151 (2002) no. 1, pp. 1-21

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We give a polynomial version of Shmul'yan's Test, characterizing the polynomials that strongly attain their norm as those at which the norm is Fréchet differentiable. We also characterize the Gateaux differentiability of the norm. Finally we study those properties for some classical Banach spaces.
DOI : 10.4064/sm151-1-1
Keywords: polynomial version shmulyans test characterizing polynomials strongly attain their norm those which norm chet differentiable characterize gateaux differentiability norm finally study those properties classical banach spaces

Juan Ferrera 1

1 Departamento de Análisis Matemático Universidad Complutense de Madrid 28040 Madrid, Spain 
@article{10_4064_sm151_1_1,
     author = {Juan Ferrera},
     title = {Norm-attaining polynomials and differentiability},
     journal = {Studia Mathematica},
     pages = {1--21},
     publisher = {mathdoc},
     volume = {151},
     number = {1},
     year = {2002},
     doi = {10.4064/sm151-1-1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm151-1-1/}
}
TY  - JOUR
AU  - Juan Ferrera
TI  - Norm-attaining polynomials and differentiability
JO  - Studia Mathematica
PY  - 2002
SP  - 1
EP  - 21
VL  - 151
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm151-1-1/
DO  - 10.4064/sm151-1-1
LA  - en
ID  - 10_4064_sm151_1_1
ER  - 
%0 Journal Article
%A Juan Ferrera
%T Norm-attaining polynomials and differentiability
%J Studia Mathematica
%D 2002
%P 1-21
%V 151
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/sm151-1-1/
%R 10.4064/sm151-1-1
%G en
%F 10_4064_sm151_1_1
Juan Ferrera. Norm-attaining polynomials and differentiability. Studia Mathematica, Tome 151 (2002) no. 1, pp. 1-21. doi: 10.4064/sm151-1-1

Cité par Sources :