A characterization of the Radon-Nikodym property

Robert Deville; Óscar Madiedo

doi:10.1016/j.jmaa.2013.03.069

A characterization of the Radon-Nikodym property

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

Abstract

It is well known that every bounded below and non-increasing sequence in the real line converges. We give a version of this result valid in Banach spaces with the Radon-Nikodym property, thus extending a former result of A. Procházka.

Original language	English (US)
Pages (from-to)	252-258
Number of pages	7
Journal	Journal of Mathematical Analysis and Applications
Volume	405
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2013.03.069
State	Published - Sep 1 2013

Keywords

Point-slice game
Radon-Nikodym property characterization

ASJC Scopus subject areas

Analysis
Applied Mathematics

Online availability

10.1016/j.jmaa.2013.03.069

http://dx.doi.org/10.1016/j.jmaa.2013.03.069

Library availability

Discover UIUC Full Text

Cite this

@article{1cb81b9b201a422dbf8382bc0de1b833,

title = "A characterization of the Radon-Nikodym property",

abstract = "It is well known that every bounded below and non-increasing sequence in the real line converges. We give a version of this result valid in Banach spaces with the Radon-Nikodym property, thus extending a former result of A. Proch{\'a}zka.",

keywords = "Point-slice game, Radon-Nikodym property characterization",

author = "Robert Deville and {\'O}scar Madiedo",

note = "Funding Information: This research was supported in part by MICINN Project MTM2009-07848 (Spain). The authors wish to thank the Institut de Math{\'e}matiques de Bordeaux where this research has been carried out. OM is also supported by grant BES2010-031192.",

year = "2013",

month = sep,

day = "1",

doi = "10.1016/j.jmaa.2013.03.069",

language = "English (US)",

volume = "405",

pages = "252--258",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Academic Press Inc.",

number = "1",

}

TY - JOUR

T1 - A characterization of the Radon-Nikodym property

AU - Deville, Robert

AU - Madiedo, Óscar

N1 - Funding Information: This research was supported in part by MICINN Project MTM2009-07848 (Spain). The authors wish to thank the Institut de Mathématiques de Bordeaux where this research has been carried out. OM is also supported by grant BES2010-031192.

PY - 2013/9/1

Y1 - 2013/9/1

N2 - It is well known that every bounded below and non-increasing sequence in the real line converges. We give a version of this result valid in Banach spaces with the Radon-Nikodym property, thus extending a former result of A. Procházka.

AB - It is well known that every bounded below and non-increasing sequence in the real line converges. We give a version of this result valid in Banach spaces with the Radon-Nikodym property, thus extending a former result of A. Procházka.

KW - Point-slice game

KW - Radon-Nikodym property characterization

UR - http://www.scopus.com/inward/record.url?scp=84892433791&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84892433791&partnerID=8YFLogxK

U2 - 10.1016/j.jmaa.2013.03.069

DO - 10.1016/j.jmaa.2013.03.069

M3 - Article

SN - 0022-247X

VL - 405

SP - 252

EP - 258

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

A characterization of the Radon-Nikodym property

Abstract

Keywords

ASJC Scopus subject areas

Online availability

Library availability

Related links

Fingerprint

Cite this