Multivalued superposition operators in ideal spaces of vector functions. II (Q1192447)

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scientific article; zbMATH DE number 60863
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Multivalued superposition operators in ideal spaces of vector functions. II
scientific article; zbMATH DE number 60863

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    Multivalued superposition operators in ideal spaces of vector functions. II (English)
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    27 September 1992
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    The paper is concerned with continuity properties of nonlinear superposition operators generated by multivalued functions \(f: \Omega\times\mathbb{R}^ m\to{\mathcal P}(\mathbb{R}^ n)\) between ideal spaces (Banach lattices) of vector functions. In particular, sufficient conditions on the spaces \(X\) and \(Y\) are given under which any superposition operator from \(X\) into \({\mathcal P}(Y)\) is continuous. [For part I see the review above.].
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    ideal spaces of vector functions
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    continuity properties of nonlinear superposition operators
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