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

49 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

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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.",

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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

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ER -

ø-weakly compact mappings of riesz spaces

Abstract

Keywords

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