A new characterizationof convex Φ-functions with a parameter

• Autorzy: Micherda B.

Identyfikatory

DOI

http://www.opuscula.agh.edu.pl/vol35/2/art/opuscula_math_3514.pdf

• Języki publikacji: EN

Abstrakty

EN

We show that, under some additional assumptions, all projection operators onto latticially closed subsets of the Orlicz-Musielak space generated by Φ are isotonic if and only if Φ 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.

Słowa kluczowe

EN

Orlicz-Musielak space; convex function; isotonic operator; projection operator; antiprojection operator

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2015
• Tom: Vol. 35, no. 2
• Strony: 191--197
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Micherda B.

• University of Bielsko-Biała Department ol Mathematics

Bibliografia

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• [9] B. Micherda, A characterization of convex ip-functions, Opuscula Math. 32 (2012) 1, 171-178.
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