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The fixed point property for renormings ofℓ2

✍ Scribed by Enrique Llorens-Fuster


Book ID
118307087
Publisher
Springer-Verlag
Year
2012
Tongue
English
Weight
390 KB
Volume
1
Category
Article
ISSN
2193-5343

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Renormings and the fixed point property
✍ Carlos A. Hernández-Linares; Maria A. Japón 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 239 KB

Let M be a finite von Neumann algebra. It is known that L 1 (M) and every non-reflexive subspace of L 1 (M) fail to have the fixed point property for non-expansive mappings (FPP). We prove a new fixed point theorem for this class of mappings in non-commutative L 1 (M) Banach spaces which lets us obt