Abstract
We give examples of an Eberlein-compact spaceX such that, ifS x is the unit ball ofC(X)* with thew*-topology then the operatorT: C(X)→C(S x ) defined byTf(μ) = μ(f), f ∈(X), μ ∈ S x , is a non-nice extreme operator.
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This is part of the author’s Ph.D. thesis, being prepared at Tel-Aviv University, under the supervision of Prof. A. J. Lazar.
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Sharir, M. A non-nice extreme operator. Israel J. Math. 26, 306–312 (1977). https://doi.org/10.1007/BF03007649
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DOI: https://doi.org/10.1007/BF03007649