ePrints@IIScePrints@IISc Home | About | Browse | Latest Additions | Advanced Search | Contact | Help

Norm derivatives and geometry of bilinear operators

Khurana, D and Sain, DP (2021) Norm derivatives and geometry of bilinear operators. In: Annals of Functional Analysis, 12 (3).

[img] PDF
ann_fun_ana_khurana_2021.pdf - Published Version
Restricted to Registered users only

Download (4MB) | Request a copy
Official URL: https://doi.org/10.1007/s43034-021-00134-9


We study the norm derivatives in the context of Birkhoff�James orthogonality in real Banach spaces. As an application of this, we obtain a complete characterization of the left-symmetric points and the right-symmetric points in a real Banach space in terms of the norm derivatives. We obtain a complete characterization of strong Birkhoff�James orthogonality in �1n and ��n spaces. We also obtain a complete characterization of the orthogonality relation defined by the norm derivatives in terms of some newly introduced variation of Birkhoff�James orthogonality. We further study Birkhoff�James orthogonality, approximate Birkhoff�James orthogonality, smoothness and norm attainment of bounded bilinear operators between Banach spaces. © 2021, Tusi Mathematical Research Group (TMRG).

Item Type: Journal Article
Publication: Annals of Functional Analysis
Publisher: Birkhauser
Additional Information: The copyright for this article belongs to Birkhauser
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 16 Sep 2021 09:08
Last Modified: 16 Sep 2021 09:08
URI: http://eprints.iisc.ac.in/id/eprint/69602

Actions (login required)

View Item View Item