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Renorming of and the fixed point property

✍ Scribed by Pei-Kee Lin


Book ID
108178574
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
173 KB
Volume
362
Category
Article
ISSN
0022-247X

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Renormings and the fixed point property
✍ Carlos A. HernΓ‘ndez-Linares; Maria A. JapΓ³n πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 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