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Direct sums of renormings of and the fixed point property

✍ Scribed by P.N. Dowling; Pei-Kee Lin; B. Turett


Book ID
108216547
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
280 KB
Volume
73
Category
Article
ISSN
0362-546X

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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