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A nil algebra of bounded operators on Hilbert space with semisimple norm closure

✍ Scribed by Donald Hadwin; Eric Nordgren; Mehdi Radjabalipour; Heydar Radjavi; Peter Rosenthal


Publisher
SP Birkhäuser Verlag Basel
Year
1986
Tongue
English
Weight
183 KB
Volume
9
Category
Article
ISSN
0378-620X

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Spaces of Compact Operators on a Hilbert
✍ Patrick N. Dowling; Narcisse Randrianantoanina 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 111 KB

Every non-reflexive subspace of K(H), the space of compact operators on a Hilbert space H, contains an asymptotically isometric copy of c 0 . This, along with a result of Besbes, shows that a subspace of K(H) has the fixed point property if and only if it is reflexive.