The Bishop-Phelps-Bollobás property for operators from c₀ into some Banach spaces

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• 作者：Marí ; a D. Acosta^a ; ^{dacosta@ugr.es" class="auth_mail" title="E-mail the corresponding author} ; Domingo Garcí ; a^b ; ^{domingo.garcia@uv.es" class="auth_mail" title="E-mail the corresponding author} ; Sun Kwang Kim^c ; ^{sunkwang@kgu.ac.kr" class="auth_mail" title="E-mail the corresponding author} ; Manuel Maestre^b ; ^{manuel.maestre@uv.es" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Banach space ; Bishop&ndash ; Phelps&ndash ; Bollobá ; s Theorem ; Norm attaining operator ; Bishop&ndash ; Phelps&ndash ; Bollobá ; s property
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2017
• 出版时间：15 January 2017
• 年：2017
• 卷：445
• 期：2
• 页码：1188-1199
• 全文大小：355 K

文摘

We exhibit a new class of Banach spaces Y   such that the pair class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0022247X16001530&_mathId=si1.gif&_user=111111111&_pii=S0022247X16001530&_rdoc=1&_issn=0022247X&md5=0f4eaa6e468f6c154d4ff141041b3e2c" title="Click to view the MathML source">(c₀,Y)class="mathContainer hidden">class="mathCode">$(c_0,Y)$ has the Bishop–Phelps–Bollobás property for operators. This class contains uniformly convex Banach spaces and spaces with the property β of Lindenstrauss. We also provide new examples of spaces in this class.