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Construction and properties of quasi-linear functionals
Authors:
Ørjan Johansen and Alf B. Rustad
Journal:
Trans. Amer. Math. Soc. 358 (2006), 2735-2758
MSC (2000):
Primary 28C15
Posted:
January 27, 2006
MathSciNet review:
2204054
Full-text PDF Free Access
Abstract |
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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:
http://dx.doi.org/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
Article copyright:
© Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain after
28 years from publication.
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