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On fixed points of linear contractions

Authors: Heydar Radjavi and Peter Rosenthal
Journal: Proc. Amer. Math. Soc. 93 (1985), 640-642
MSC: Primary 47D05; Secondary 47D20
MathSciNet review: 776194
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Abstract: It is shown that a weakly closed convex semigroup of linear contractions on a separable Hilbert space has a common fixed point other than 0 if the operator 0 is not in the semigroup.

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