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Renormings and fixed point property in non-commutative -spaces II: Affine mappings

✍ Scribed by Carlos A. Hernández-Linares; Maria A. Japón

Book ID
116761216
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
218 KB
Volume
75
Category
Article
ISSN
0362-546X

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Renormings and the fixed point property
Renormings and the fixed point property in non-commutative -spaces
✍ 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