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The p-approximation property in terms of density of finite rank operators

✍ Scribed by J.M. Delgado; E. Oja; C. Piñeiro; E. Serrano


Book ID
108178384
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
181 KB
Volume
354
Category
Article
ISSN
0022-247X

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The approximation property in terms of t
✍ Eve Oja; Anders Pelander 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 206 KB

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 \* → Y can be uniformly approximated by finite rank operators from X ⊗ Y . We prove the following "metric" version of