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The weak metric approximation property and ideals of operators

✍ Scribed by Vegard Lima

Book ID
108175819
Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
161 KB
Volume
334
Category
Article
ISSN
0022-247X

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πŸ“œ SIMILAR VOLUMES

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By a well-known result of Grothendieck, a Banach space X has the approximation property if and only if, for every Banach space Y , every weak\*-weak continuous compact operator T : X \* β†’ Y can be uniformly approximated by finite rank operators from X βŠ— Y . We prove the following "metric" version of

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The connection between the approximation property and certain classes of locally convex spaces associated with the ideal B) of approximable operators will be discussed. It mill be shown that a FRECHET MOXTEL space has the approximation property iff it is a mixed @-space, or equivalently, iff its str