Geodesic
On the local moduli of squareness
Antonio J. Guirao 1
1 Departamento de Matemáticas Universidad de Murcia 30100 Espinardo (Murcia), Spain
Studia Mathematica, Tome 184 (2008) no. 2, pp. 175-189 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

We introduce the notions of pointwise modulus of squareness and local modulus of squareness of a normed space $X$. This answers a question of C. Benítez, K. Przes/lawski and D. Yost about the definition of a sensible localization of the modulus of squareness. Geometrical properties of the norm of $X$ (Fréchet smoothness, Gâteaux smoothness, local uniform convexity or strict convexity) are characterized in terms of the behaviour of these moduli.
DOI : 10.4064/sm184-2-6
Keywords: introduce notions pointwise modulus squareness local modulus squareness normed space answers question ben tez przes lawski yost about definition sensible localization modulus squareness geometrical properties norm chet smoothness teaux smoothness local uniform convexity strict convexity characterized terms behaviour these moduli

Antonio J. Guirao  1

1 Departamento de Matemáticas Universidad de Murcia 30100 Espinardo (Murcia), Spain 
@article{10_4064_sm184_2_6,
     author = {Antonio J. Guirao},
     title = {On the local moduli of squareness},
     journal = {Studia Mathematica},
     pages = {175--189},
     year = {2008},
     volume = {184},
     number = {2},
     doi = {10.4064/sm184-2-6},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm184-2-6/}
}
TY  - JOUR
AU  - Antonio J. Guirao
TI  - On the local moduli of squareness
JO  - Studia Mathematica
PY  - 2008
SP  - 175
EP  - 189
VL  - 184
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm184-2-6/
DO  - 10.4064/sm184-2-6
LA  - en
ID  - 10_4064_sm184_2_6
ER  - 
%0 Journal Article
%A Antonio J. Guirao
%T On the local moduli of squareness
%J Studia Mathematica
%D 2008
%P 175-189
%V 184
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/sm184-2-6/
%R 10.4064/sm184-2-6
%G en
%F 10_4064_sm184_2_6
Antonio J. Guirao. On the local moduli of squareness. Studia Mathematica, Tome 184 (2008) no. 2, pp. 175-189. doi: 10.4064/sm184-2-6

Cité par Sources :