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Representation of Banach Ideal Spaces and Factorization of Operators

Representation of Banach Ideal Spaces and Factorization of Operators

Abstract Representation theorems are proved for Banach ideal spaces with the Fatou property which are built by the CalderĆ³nā€“LozanovskiÄ­ construction. Factorization theorems for operators in spaces more general than the Lebesgue L p spaces are investigated. It is natural to extend the Gagliardo theorem on the Schur test and the ā€¦