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Start Over Descriptor "Orlicz-Musielak space" Publisher agh univeristy of science and technology press
1 results on '"Orlicz-Musielak space"'

1. A new characterization of convex φ-functions with a parameter

Author

Bartosz Micherda

Subjects
Orlicz-Musielak space, convex function, isotonic operator, projection operator, antiprojection operator, Applied mathematics. Quantitative methods, T57-57.97
Abstract

We show that, under some additional assumptions, all projection operators onto latticially closed subsets of the Orlicz-Musielak space generated by \(\Phi\) are isotonic if and only if \(\Phi\) is convex with respect to its second variable. A dual result of this type is also proven for antiprojections. This gives the positive answer to the problem presented in Opuscula Mathematica in 2012.

Published
2015
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