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Algebras which contain a compact operator

✍ Scribed by L. L. Vaksman; D. L. Gurarii

Publisher: Springer US
Year: 1975
Tongue: English
Weight: 134 KB
Volume: 8
Category: Article
ISSN: 0016-2663
DOI: 10.1007/bf01075494

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## Abstract Let 1 ≤ __p__ ≤ ∞. A subset __K__ of a Banach space __X__ is said to be relatively __p__ ‐compact if there is an 〈__x__~__n__~ 〉 ∈ __l__^__s__^ ~__p__~ (__X__) such that for every __k__ ∈ __K__ there is an 〈__α__~__n__~ 〉 ∈ __l__~__p__ ′~ such that __k__ = σ^∞^~__n=1__~ __α__~__n__~ _