Transfinite Daugavet properties are defined and characterized for C(K) spaces by a cardinal index r(K) generalizing the reaping number, with the perfect version equivalent to K having no Gδ-points.
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Characterizes composition operators on holomorphic Lipschitz spaces via free-space linearization, with results on compactness, isomorphisms, and iterates for spaces with bounded approximation property.
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Transfinite Daugavet property
Transfinite Daugavet properties are defined and characterized for C(K) spaces by a cardinal index r(K) generalizing the reaping number, with the perfect version equivalent to K having no Gδ-points.
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Composition operators for holomorphic Lipschitz functions
Characterizes composition operators on holomorphic Lipschitz spaces via free-space linearization, with results on compactness, isomorphisms, and iterates for spaces with bounded approximation property.