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Displaying similar documents to “About the existence of integrable solutions of a functional-integral equation.”

Integrable solutions of a functional-integral equation.

Józef Banas, Zygmunt Knap (1989)

Revista Matemática de la Universidad Complutense de Madrid

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This paper contains a theorem on the existence of monotonic and integrable solutions of a functional-integral equation. The proof of that theorem is based on the technique associated with the notion of a measure of weak noncompactness.

Weak Cauchy sequences in L ( μ , X )

Georg Schlüchtermann (1995)

Studia Mathematica

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For a finite and positive measure space Ω,∑,μ characterizations of weak Cauchy sequences in L ( μ , X ) , the space of μ-essentially bounded vector-valued functions f:Ω → X, are presented. The fine distinction between Asplund and conditionally weakly compact subsets of L ( μ , X ) is discussed.