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• W2783145888 abstract "We investigate relations between symmetrizations of quasi-Banach function spaces and constructions such as Calderon-Lozanovskii spaces, pointwise product spaces and pointwise multipliers. We show that under reasonable assumptions the symmetrization commutes with these operations. We determine also the spaces of pointwise multipliers between Lorentz spaces and Cesaro spaces. Developed methods may be regarded as an arithmetic of quasi-Banach function spaces and proofs of Theorems 3, 4 and 6 give a kind of tutorial for these methods. Finally, the above results will be used in proofs of some factorization results." @default.
• W2783145888 created "2018-01-26" @default.
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• W2783145888 date "2018-01-17" @default.
• W2783145888 modified "2023-10-12" @default.
• W2783145888 title "Symmetrization, factorization and arithmetic of quasi-Banach function spaces" @default.
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• W2783145888 hasPublicationYear "2018" @default.
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