A Bishop-Phelps-Bollob?s theorem for bounded analytic functions

被引：1
|
作者：
Bala, Neeru [1 ]
Dhara, Kousik [2 ]
Sarkar, Jaydeb [3 ]
Sensarma, Aryaman [3 ]
机构：
[1] Indian Inst Technol, Dept Math, Mumbai 400076, India
[2] Weizmann Inst Sci, Dept Math, IL-7610001 Rehovot, Israel
[3] Indian Stat Inst, Stat & Math Unit, 8th Mile,Mysore Rd, Bangalore 560059, India
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2023年 / 284卷 / 06期
关键词：
Bounded analytic functions; Norm attaining operators; Asplund spaces; Operator ideals; BANACH-SPACES; PROPERTY;
D O I：
10.1016/j.jfa.2022.109834
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let H-infinity denote the Banach algebra of all bounded analytic functions on the open unit disc and denote by B(H-infinity) the Banach space of all bounded linear operators from H-infinity into itself. We prove that the Bishop-Phelps-Bollobas property holds for B(H-infinity). As an application to our approach, we prove that the Bishop-Phelps-Bollobas property also holds for operator ideals of B(H-infinity). (c) 2022 Published by Elsevier Inc.
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页数：20
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