Numerical index of Banach spaces and duality

Author:

BOYKO KOSTYANTYN,KADETS VLADIMIR,MARTÍN MIGUEL,WERNER DIRK

Abstract

AbstractWe present an example of a Banach space whose numerical index is strictly greater than the numerical index of its dual, giving a negative answer to a question which has been latent since the beginning of the seventies. We also show a particular case in which the numerical index of the space and the one of its dual coincide.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference37 articles.

1. On weak*-extreme points in Banach spaces;Dutta;J. Convex Anal.,2003

2. On the field of values subordinate to a norm

3. [24] Martín M. . The alternative Daugavet property for C*-algebras and JB*-triples, Math. Nachr. (to appear).

4. Numerical index of vector-valued function spaces;Martín;Studia Math.,2000

Cited by 35 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Estimations of the Numerical Index of a JB$$^*$$-Triple;Bulletin of the Malaysian Mathematical Sciences Society;2023-11-22

2. On the Lipschitz numerical index of Banach spaces;Collectanea Mathematica;2023-10-27

3. The Daugavet Equation: Linear and Nonlinear Recent Results;Matrix and Operator Equations and Applications;2023

4. Every commutative JB$$^*$$-triple satisfies the complex Mazur–Ulam property;Annals of Functional Analysis;2022-08-07

5. Numerical Index and Daugavet Property of Operator Ideals and Tensor Products;Mediterranean Journal of Mathematics;2021-03-09

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3