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Construction and properties of quasi-linear functionals
Author(s):
Ørjan
Johansen;
Alf
B.
Rustad
Journal:
Trans. Amer. Math. Soc.
358
(2006),
2735-2758.
MSC (2000):
Primary 28C15
Posted:
January 27, 2006
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Abstract:
Quasi-linear functionals are shown to be uniformly continuous and decomposable into a difference of two quasi-integrals. A predual space for the quasi-linear functionals inducing the weak*-topology is given. General constructions of quasi-linear functionals by solid set-functions and q-functions are given.
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Additional Information:
Ørjan
Johansen
Affiliation:
Department of Mathematical Sciences, Norwegian University of Science and Technology, Trondheim, Norway
Alf
B.
Rustad
Affiliation:
Department of Mathematical Sciences, Norwegian University of Science and Technology, Trondheim, Norway
Address at time of publication:
Statoil Research Centre, N-7005 Trondheim, Norway
DOI:
10.1090/S0002-9947-06-03843-8
PII:
S 0002-9947(06)03843-8
Received by editor(s):
January 26, 2004
Received by editor(s) in revised form:
August 30, 2004
Posted:
January 27, 2006
Additional Notes:
The first author was supported by the Norwegian Research Council
Copyright of article:
Copyright
2006,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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