79 citations · 247 across the 24 of their papers we have counts for
5 papers · 1 filter
Orthogonality preserving property for pairs of operators on Hilbert -modules
Michael Frank, M. S. Moslehian, Ali Zamani
We investigate the orthogonality preserving property for pairs of mappings on inner product -modules extending existing results for a single orthogonality-preserving mapping.…
An extension of orthogonality relations based on norm derivatives
A. Zamani, M. S. Moslehian
We introduce the relation -orthogonality in the setting of normed spaces as an extension of some orthogonality relations based on norm derivatives, and present some of its ess…
Approximately angle preserving mappings
Mohammad Sal Moslehian, Ali Zamani, Paweł Wójcik
In this paper, we present some characterizations of linear mappings, which preserve vectors at a specific angle. We introduce the concept of -angle preserving map…
Characterizations of operator Birkhoff-James orthogonality
Mohammad Sal Moslehian, Ali Zamani
In this paper, we obtain some characterizations of the (strong) Birkhoff--James orthogonality for elements of Hilbert -modules and certain elements of $\mathbb{B}(\mathscr{H})…
Characterizations of smooth spaces by -orthogonality
Mohammad Sal Moslehian, Ali Zamani, Mahdi Dehghani
The aim of this paper is to present some results concerning the -orthogonality in real normed spaces and its preservation by linear operators. Among other things, we prove tha…