Work

New orthogonality relations based on the norm derivative

Year: 2024
Type: article
Abstract: In the paper we introduce new norm derivative mappings and the corresponding orthogonality relations induced by it. We show that this notion is useful in the characterization of inner product spaces, characterization of smooth Banach spaces, Birkhoff orthogonality. We prove also some useful computational formulations.
Author: Dumitru Popa
Institution: Ovidius University
Language: English
Open Access status: hybrid
Estimated APC paid: $2,990
OpenAlex ID: W4405832853
FWCI:
Cites: 13
Cited by:
Related to: 10