Representing the Banach operator ideal of completely continuous operators; pp. 189–193

descriptionPublicationkeyboard_double_arrow_right Article 02 May 2017 English Publisher:Estonian Academy PublishersJournal:Proceedings of the Estonian Academy of Sciences, volume 66, pages 189-193 (issn: 1736-6046,

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Authors: Rauni Lillemets;

doi: 10.3176/proc.2017.2.10

Representing the Banach operator ideal of completely continuous operators; pp. 189–193

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Abstract

Let V ;Wâˆž and W be the operator ideals of completely continuous, weakly âˆž-compact, and weakly compact operators, respectively. In a recent paper, William B. Johnson, Eve Oja, and the author proved that V = Wâˆž â—¦W -1 (Johnson, W. B., Lillemets, R., and Oja, E. Representing completely continuous operators through weakly âˆž-compact operators. Bull. London Math. Soc., 2016, 48, 452â€“456). We show that this equality also holds in the context of Banach operator ideals

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