Fixed point theorem for reflexive Banach spaces and uniformly convex non positively curved metric spaces

Izhar Oppenheim

doi:10.1007/s00209-014-1329-z

Fixed point theorem for reflexive Banach spaces and uniformly convex non positively curved metric spaces

Izhar Oppenheim

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

This article generalizes the work of Ballmann and Światkowski to the case of Reflexive Banach spaces and uniformly convex Busemann spaces, thus giving a new fixed point criterion for groups acting on simplicial complexes.

Original language	English
Pages (from-to)	649-661
Number of pages	13
Journal	Mathematische Zeitschrift
Volume	278
Issue number	3-4
DOIs	https://doi.org/10.1007/s00209-014-1329-z
State	Published - 12 Nov 2014
Externally published	Yes

Keywords

Busemann space
Fixed point theorem
Property (T)
Reflexive Banach space

ASJC Scopus subject areas

General Mathematics

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10.1007/s00209-014-1329-z

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title = "Fixed point theorem for reflexive Banach spaces and uniformly convex non positively curved metric spaces",

abstract = "This article generalizes the work of Ballmann and {\'S}wiatkowski to the case of Reflexive Banach spaces and uniformly convex Busemann spaces, thus giving a new fixed point criterion for groups acting on simplicial complexes.",

keywords = "Busemann space, Fixed point theorem, Property (T), Reflexive Banach space",

author = "Izhar Oppenheim",

note = "Publisher Copyright: {\textcopyright} 2014, Springer-Verlag Berlin Heidelberg.",

year = "2014",

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doi = "10.1007/s00209-014-1329-z",

language = "English",

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AU - Oppenheim, Izhar

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N2 - This article generalizes the work of Ballmann and Światkowski to the case of Reflexive Banach spaces and uniformly convex Busemann spaces, thus giving a new fixed point criterion for groups acting on simplicial complexes.

AB - This article generalizes the work of Ballmann and Światkowski to the case of Reflexive Banach spaces and uniformly convex Busemann spaces, thus giving a new fixed point criterion for groups acting on simplicial complexes.

KW - Busemann space

KW - Fixed point theorem

KW - Property (T)

KW - Reflexive Banach space

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DO - 10.1007/s00209-014-1329-z

M3 - Article

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JO - Mathematische Zeitschrift

JF - Mathematische Zeitschrift

IS - 3-4

ER -

Fixed point theorem for reflexive Banach spaces and uniformly convex non positively curved metric spaces

Abstract

Keywords

ASJC Scopus subject areas

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