ø-weakly compact mappings of riesz spaces

P. G. Dodds

doi:10.1090/S0002-9947-1975-0385629-1

ø-weakly compact mappings of riesz spaces

P. G. Dodds

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

43 Citations (Scopus)

Abstract

A characterization is given of linear mappings from a Riesz space to a Banach space which map order intervals to relatively weakly compact sets. The characterization is based on recent results of Burkinshaw and Fremlin. A number of applications are made to known results concerning weakly compact mappings and to results in the theory of Banach space-valued measures.

Original language	English
Pages (from-to)	389-402
Number of pages	14
Journal	TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
Volume	214
DOIs	https://doi.org/10.1090/S0002-9947-1975-0385629-1
Publication status	Published - 1975

Keywords

C(K) operator theory. 1975
Disjoint sequences
Locally s-bounded vector measures
Riesz spaces

Access to Document

10.1090/S0002-9947-1975-0385629-1Licence: In Copyright

Cite this

@article{471c985ff59b4eeb85986060fb17a52f,

title = "{\o}-weakly compact mappings of riesz spaces",

abstract = "A characterization is given of linear mappings from a Riesz space to a Banach space which map order intervals to relatively weakly compact sets. The characterization is based on recent results of Burkinshaw and Fremlin. A number of applications are made to known results concerning weakly compact mappings and to results in the theory of Banach space-valued measures.",

keywords = "C(K) operator theory. 1975, Disjoint sequences, Locally s-bounded vector measures, Riesz spaces",

author = "Dodds, {P. G.}",

year = "1975",

doi = "10.1090/S0002-9947-1975-0385629-1",

language = "English",

volume = "214",

pages = "389--402",

journal = "TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY",

issn = "0002-9947",

}

TY - JOUR

T1 - ø-weakly compact mappings of riesz spaces

AU - Dodds, P. G.

PY - 1975

Y1 - 1975

N2 - A characterization is given of linear mappings from a Riesz space to a Banach space which map order intervals to relatively weakly compact sets. The characterization is based on recent results of Burkinshaw and Fremlin. A number of applications are made to known results concerning weakly compact mappings and to results in the theory of Banach space-valued measures.

AB - A characterization is given of linear mappings from a Riesz space to a Banach space which map order intervals to relatively weakly compact sets. The characterization is based on recent results of Burkinshaw and Fremlin. A number of applications are made to known results concerning weakly compact mappings and to results in the theory of Banach space-valued measures.

KW - C(K) operator theory. 1975

KW - Disjoint sequences

KW - Locally s-bounded vector measures

KW - Riesz spaces

UR - http://www.scopus.com/inward/record.url?scp=0011692025&partnerID=8YFLogxK

U2 - 10.1090/S0002-9947-1975-0385629-1

DO - 10.1090/S0002-9947-1975-0385629-1

M3 - Article

AN - SCOPUS:0011692025

VL - 214

SP - 389

EP - 402

JO - TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

JF - TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

SN - 0002-9947

ER -

ø-weakly compact mappings of riesz spaces

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this