0000000001053673

AUTHOR

Grzegorz Lewicki

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A note on the admissibility of modular function spaces

2017

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 .

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