Functions of convexity and dimension

Tomasz Kulpa

Published: 2005-09-30

Vol. 19 (2005)

Functions of convexity and dimension

Tomasz Kulpa

Abstract

Two dual sequence functions describing some kind of local convexity and dimension of subspaces of linear metric spaces are introduced. It is shown that the functions give a useful tool in the investigations of fixed point properties of the Schauder type.

Keywords:

the Schauder fixed point theorem , measure of convexity and dimension

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Kulpa, T. (2005). Functions of convexity and dimension. Annales Mathematicae Silesianae, 19, 23–29. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14081

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Vol. 19 (2005)
Published: 2005-09-30

ISSN: 0860-2107

eISSN: 2391-4238

10.2478/amsil

Publisher

University of Silesia Press

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