# Publishing house / Banach Center Publications / All volumes

## On Kottman's constants in Banach spaces

### Volume 92 / 2011

Banach Center Publications 92 (2011), 75-84 MSC: 46B04, 46B08, 46B20. DOI: 10.4064/bc92-0-5

#### Abstract

This paper deals with a few, not widely known, aspects of Kottman's constant of a Banach space and its symmetric and finite variations. We will consider their behaviour under ultrapowers, relations with other parameters such as Whitley's or James' constant, and connection with the extension of $c_0$-valued Lipschitz maps.

#### Authors

• Jesús M. F. CastilloDepartamento de Matemáticas
Avenida de Elvas s/n
e-mail
• Pier Luigi PapiniDipartimento di Matematica
Universitá degli Studi di Bologna
Piazza Porta S. Donato 5
40126 Bologna, Italia
e-mail

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