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Tensor products and spaces of vector-valued continuous functions

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Abstract

Quasibarrelled, barrelled and bornological tensor products of locally convex spaces are studied. A device, called the desintegration lemma, is developed for the most difficult case, that of the injective topology. Applications are given to spaces of vector-valued continuous functions.

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Both authors thank the Volkswagenstiftung and the A. von Humboldt Stiftung. The second author is a research associate of the Belgian National Fund for Scientific Research N.F.W.O.

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Defant, A., Govaerts, W. Tensor products and spaces of vector-valued continuous functions. Manuscripta Math 55, 433–449 (1986). https://doi.org/10.1007/BF01186656

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  • DOI: https://doi.org/10.1007/BF01186656

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