Search results for "Admissible space"

showing 2 items of 2 documents

On the admissibility of the space L_{0}(A, X) of vector-valued measurable functions

2013

We prove the admissibility of the space L_0(A,X) of vector-valued measurable functions determined by real-valued finitely additive set functions defined on algebras of sets.

Admissible space finitely additive set function measurable functionSettore MAT/05 - Analisi Matematica
researchProduct

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
researchProduct