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math.FA2017★ 7 cited
The Bishop-Phelps-Bollob{á}s property for numerical radius of operators on
M. D. Acosta, M. Fakhar, M. Soleimani-Mourchehkhorti
In this paper, we introduce the notion of the Bishop-Phelps-Bollobás property for numerical radius (BPBp-) for a subclass of the space of bounded linear operators. Then, we show…
math.FA2017★ 16 cited
The Bishop-Phelps-Bollobás and approximate hyperplane series properties
M. D. Acosta, M. Mastyło, M. Soleimani-Mourchehkhorti
We study the Bishop-Phelps-Bollobás property for operators between Banach spaces. Sufficient conditions are given for generalized direct sums of Banach spaces with respect to a~uni…