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A note on the admissibility of modular function spaces

Grzegorz LewickiDiana Caponetti

subject

Discrete mathematicsApplied Mathematics010102 general mathematicsModular formModular function spaceFixed pointFixed point01 natural sciences010101 applied mathematicsRetractAdmissible space0101 mathematicsAnalysisMathematics

description

Abstract In this paper we prove the admissibility of modular function spaces E ρ considered and defined by Kozlowski in [17] . As an application we get that any compact and continuous mapping T : E ρ → E ρ has a fixed point. Moreover, we prove that the same holds true for any retract of E ρ .

yearjournalcountryeditionlanguage
2017-04-01
10.1016/j.jmaa.2016.11.047http://ruj.uj.edu.pl/xmlui/handle/item/39718