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The continuity principle in exponential type Orlicz spaces

Published online by Cambridge University Press:  22 January 2016

S. E. Graversen ,
G. Peškir  and
M. Weber
S. E. Graversen
Affiliation:
Institute of Mathematics, University of Aarhus, Ny Munkegade, 8000 Aarhus, Denmark
G. Peškir
Affiliation:
Institute of Mathematics, University of Aarhus, Ny Munkegade, 8000 Aarhus, Denmark, Department of Mathematics, University of Zagreb, Bijenička 30, 41000 Zagreb, Croatia
M. Weber
Affiliation:
I.R.M.A. Unité de Recherche associée C.N.R.S., 1, 7, rue René Descartes, 67084 Strasbourg, France
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In this section we shall present some facts in the background of the problem under our next consideration. Let (X, A, μ) be a finite measure space, and let B be a Banach space with a norm ‖ • ‖. Let M(μ) denote the linear space of all μ-measurable functions from X into R, and let T be a linear operator from B into M (μ).

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 137 , March 1995 , pp. 55 - 75
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1995

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