On the Bishop-Phelps-Bollob谩s property for numerical radius in spaces

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• 作者：A. Avilé ; s^a ; ^{avileslo@um.es" class="auth_mail} ; A.J. Guirao^b ; ^{anguisa2@mat.upv.es" class="auth_mail} ; J. Rodrí ; guez^c ; ^{joserr@um.es" class="auth_mail}
• 关键词：Bishop&ndash ; Phelps&ndash ; Bollobá ; s property ; Numerical radius ; Space of continuous functions ; Space of measures ; Compact space
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：1 November 2014
• 年：2014
• 卷：419
• 期：1
• 页码：395-421
• 全文大小：442 K

文摘

We study the Bishop–Phelps–Bollobás property for numerical radius within the framework of C(K)$C(K)$ spaces. We present several sufficient conditions on a compact space K   ensuring that C(K)$C(K)$ has the Bishop–Phelps–Bollobás property for numerical radius. In particular, we show that C(K)$C(K)$ has such property whenever K is metrizable.