Convexity and reflexivity

Authors

  • Sergio Falcon Departamento de Matemáticas, Universidad de Las Palmas de G.C., Campus de Tafira, 35017, Las Palmas de G.C., SPAIN Author
  • Kishin Sadarangani Departamento de Matemáticas, Universidad de Las Palmas de G.C., Campus de Tafira, 35017, Las Palmas de G.C., SPAIN Author

Keywords:

The Hausdorff and the De Blasi measures, nearly and locally nearly uniformly convex space, set quantity, reflexive Banach space

Subjects:

46A25, 46B10

Abstract

In recent years some papers have appeared containing generalizations of the concept of convexity with the help of the notion of measure of noncompactness. Furthermore, some authors have introduced the concept of near uniform convexity by means of the Hausdorff measure and of weak near uniform convexity by means of the De Blasi measure. In this work we present a generalization of these concepts by means of a general set quantity.

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Published

2000-10-15

Issue

Vol. 52 No. 3–4 (2000): Vol. 52, Issue 3–4

Section

Articles

License

Copyright (c) 2000 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.