Geodesic
On the geometry of Banach spaces with modulus of convexity of power type 2
M. Ivanov 1   ; A. J. Pallares 2   ; S. Troyanski 2
1 Faculty of Mathematics and Informatics Sofia University 5, J. Bourchier blvd. 1164 Sofia, Bulgaria
2 Departamento de Matemáticas Universidad de Murcia Campus de Espinardo 30100 Murcia, Spain
Studia Mathematica, Tome 197 (2010) no. 1, pp. 81-91 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We use one-dimensional differential inequalities to estimate the squareness and type of Banach spaces with modulus of convexity of power type two. The estimates obtained are sharp and the constants involved moderate.
DOI : 10.4064/sm197-1-7
Keywords: one dimensional differential inequalities estimate squareness type banach spaces modulus convexity power type estimates obtained sharp constants involved moderate

M. Ivanov  1   ; A. J. Pallares  2   ; S. Troyanski  2

1 Faculty of Mathematics and Informatics Sofia University 5, J. Bourchier blvd. 1164 Sofia, Bulgaria
2 Departamento de Matemáticas Universidad de Murcia Campus de Espinardo 30100 Murcia, Spain 
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M. Ivanov; A. J. Pallares; S. Troyanski. On the geometry of Banach spaces with
 modulus of convexity of power type 2. Studia Mathematica, Tome 197 (2010) no. 1, pp. 81-91. doi: 10.4064/sm197-1-7

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