Degree of convexity and product spaces

Emanuele Casini

Commentationes Mathematicae Universitatis Carolinae (1990)

  • Volume: 031, Issue: 4, page 637-641
  • ISSN: 0010-2628

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Casini, Emanuele. "Degree of convexity and product spaces." Commentationes Mathematicae Universitatis Carolinae 031.4 (1990): 637-641. <http://eudml.org/doc/17885>.

@article{Casini1990,
author = {Casini, Emanuele},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {k-uniform convexity; normal structure; necessary and sufficient condition for an -product of two Banach spaces to be 2-uniformly convex},
language = {eng},
number = {4},
pages = {637-641},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Degree of convexity and product spaces},
url = {http://eudml.org/doc/17885},
volume = {031},
year = {1990},
}

TY - JOUR
AU - Casini, Emanuele
TI - Degree of convexity and product spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1990
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 031
IS - 4
SP - 637
EP - 641
LA - eng
KW - k-uniform convexity; normal structure; necessary and sufficient condition for an -product of two Banach spaces to be 2-uniformly convex
UR - http://eudml.org/doc/17885
ER -

References

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  1. Amir D., On Jung's constant and related constants in normed linear spaces, Pacific J. Math. 118 (1985), 1-15. (1985) Zbl0529.46011MR0783011
  2. Beauzamy B., Introduction to Banach Spaces and Their Geometry, North-Holland, Amsterdam, 1982. (1982) Zbl0491.46014MR0670943
  3. Bernal J., Sullivan F., Multi-dimensional volumes, super-reflexivity and normal structure in Banach spaces, Illinois J. Math. 27 (1983), 501-513. (1983) Zbl0512.46013MR0698311
  4. Clarkson J. A., Uniformly convex spaces, Trans. Amer. Math. Soc. 40 (1936), 396-414. (1936) Zbl0015.35604MR1501880
  5. Geremia R., Sullivan F., Multi-dimensional volumes and moduli of convexity in Banach spaces, Ann. Mat. Pura Appl. (4) 127 (1981), 231-251. (1981) Zbl0472.46018MR0633401
  6. Silverman E., Definition of area for surfaces in metric spaces, Riv. Mat. Univ. Parma (4) 2 (1951), 47-76. (1951) MR0042503
  7. Sullivan F., A generalization of uniformly rotund Banach spaces, Canad. J. Math 31 (1979), 628-636. (1979) Zbl0422.46011MR0536368
  8. Yu Xin-Tai, Wang Jia-Ping, On k-rotund moduli and k-tonvex moduli (Chinese), J. East China Normal UNiv. 1 (1981), 1-8. (1981) 

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