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

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

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	American 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

All Science Journal Classification (ASJC) codes

General Mathematics

Access to Document

10.1007/s00209-014-1329-z

Cite this

@article{541cc66185ff4e99bdbc83547bb16045,

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",

month = nov,

day = "12",

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

language = "American English",

volume = "278",

pages = "649--661",

journal = "Mathematische Zeitschrift",

issn = "0025-5874",

publisher = "Springer New York",

number = "3-4",

}

TY - JOUR

T1 - Fixed point theorem for reflexive Banach spaces and uniformly convex non positively curved metric spaces

AU - Oppenheim, Izhar

PY - 2014/11/12

Y1 - 2014/11/12

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

UR - http://www.scopus.com/inward/record.url?scp=84911971447&partnerID=8YFLogxK

U2 - 10.1007/s00209-014-1329-z

DO - 10.1007/s00209-014-1329-z

M3 - Article

SN - 0025-5874

VL - 278

SP - 649

EP - 661

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

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this