Structure of strongly proximinal subspaces

• Published in: Journal of mathematical analysis and applications Vol. 539; no. 2; p. 128540
• Main Author: Rao, T.S.S.R.K.
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 15.11.2024
• Subjects: [formula omitted]-algebras; [formula omitted]-predual spaces; Strong proximinality; Strong subdifferentiability of the norm; Strong subdifferentiability of the norm; Strong proximinality; L1-predual spaces; C⁎-algebras

In this paper we extended some results of G. Godefroy, originally proved for c0 using its special geometry, to the class of complex Banach spaces X whose dual is isometric to L1(μ). We exhibit classes of complex Banach spaces in which every strongly proximinal finite codimensional subspace is a fini...