Revista de Matemática: Teoría y Aplicaciones ISSN Impreso: 1409-2433 ISSN electrónico: 2215-3373

OAI: https://revistas.ucr.ac.cr/index.php/matematica/oai
El espacio cociente y algunas propiedades geométricas de los espacios de Banach
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Keywords

uniformly convex space
uniformly non-square space
LUR space
(R) space
Espacio uniformemente convexo
espacio uniformemente no-cuadrado
espacio LUR
espacio (R)

How to Cite

Morales, J. R. (1999). El espacio cociente y algunas propiedades geométricas de los espacios de Banach. Revista De Matemática: Teoría Y Aplicaciones, 6(2), 97–106. https://doi.org/10.15517/rmta.v6i2.171

Abstract

We state some geometric properties of Banach spaces, such as uniformly convex spaces, uniformly non-square spaces, local uniformly convex spaces, strictly convex spaces, etc., and we analyze the problem of translating such properties to the quotient space.


https://doi.org/10.15517/rmta.v6i2.171
PDF (Español (España))

References

Clarkson, J.A. (1936) “Uniformly Convex Spaces”, Trans. A.M.S.40: 396–414.

Day, M.M. (1973) Normed Linear Spaces,3aedici ́on. Springer-Verlag, New York.

Fan, K.; Glicksberg, I. (1955) “Fully convex normed linear spaces”, Proc. Nat. Acad. Scie. USA.41: 947–953.

Fan, K.; Glicksberg, I. (1958) “Some geometric properties of the spheres in a normed linear space”, Duke Math. Jour.25: 553–568.

Giles, J.R.; Sims, B.; Yorke, A.C. (1990) “On the drop and weakdrop properties for a Banach space”, Bull. Aust. Math. Soc.41: 503–507.

Huff, R. (1980) “Banach spaces which are nearly uniformly convex”, Ruck. Mount. Jour. Math.10: 743–749.

Istratescu, V.I. (s.f.) Strict Convexity and Complex Strict Convexity, Theory and Applications. Marcel Decker, New York.

James, R.C. (1964) “Uniformly non-square Banach space”, Ann. Math. 280: 542–550.

Lin, B.-L.; Zhang, W. (1991) “Some geometric properties related to uniform convex of Banach spaces, function spaces”, Lecture Notes in Pure and Appl. Math. 136, Marcel Decker, New York: 281–294.

Lovaglia, A.R. (1955) “Locally uniformly convex Banach spaces”, Trans. A.M.S. 78: 225–238.

Montesinos, V. (1987) “Drop property equals reflexivity”, Studia Math. 86: 93–100.

Montesinos, V.; Torregrosa, J.R. (s.f.) “Sobre espacios de Banach localmente uniformemente rotundos”.

Phelps, R.R. (1960) “Uniqueness of Hanh-Banach extension and unique best approximation”, Trans. A.M.S. 95: 238–255.

Rolewicz, S. (1987) “On drop property”, Studia Math.85: 27–35.

Chau-Xun, N.; Jian-Hua, W. (1988) “On the Lk−UR and L−kR spaces”, Math. Proc. Camb. Phil. Suc. 104: 521–526.

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