Weak* fixed point property and the space of affine functions
نویسندگان
چکیده
First we prove that if a separable Banach space X X contains an isometric copy of infinite-dimensional A left-parenthesis upper S right-parenthesis"> A ( S stretchy="false">) encoding="application/x-tex">A(S) affine continuous functions on Choquet simplex S"> encoding="application/x-tex">S , then its dual X Superscript asterisk"> ∗ encoding="application/x-tex">X^* lacks the weak^* fixed point property for nonexpansive mappings. Then, show L 1"> L 1 encoding="application/x-tex">L_1 -predual fails mappings and only has quotient to some . Moreover, provide example showing “quotient” cannot be replaced by “subspace”. Finally, it is worth mentioning in our characterization substituted any alttext="script C K class="MJX-tex-caligraphic" mathvariant="script">C K encoding="application/x-tex">\mathcal {C}(K) compact Hausdorff K"> encoding="application/x-tex">K
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2021
ISSN: ['2330-1511']
DOI: https://doi.org/10.1090/proc/15327