5 citations · 11 across the 7 of their papers we have counts for
16 papers
An extension of the -numerical radius on -algebras
Mohamed Mabrouk, Ali Zamani
Let be a positive element in a unital -algebra . We define a semi-norm on , which generalizes the -operator semi-norm and the -numerical…
An extension of Birkhoff--James orthogonality relations in semi-Hilbertian space operators
S. M. Enderami, M. Abtahi, A. Zamani
Let denote the -algebra of all bounded linear operators on a Hilbert space . Given a positive…
A geometric approach to inequalities for the Hilbert--Schmidt norm
Ali Zamani
We define angle between non-zero Hilbert--Schmidt operators and by , and give some of it…
An orthogonality relation in complex normed spaces based on norm derivatives
S. M. Enderami, M. Abtahi, A. Zamani +1
Let be a complex normed space. Based on the right norm derivative , we define a mapping by \begin{equation*} ρ_{_{\infty}}(x,y) = \frac1π\int_0^{2π}e^…
Some upper bounds for the -numerical radius of block matrices
Qingxiang Xu, Zhongming Ye, Ali Zamani
Let be the diagonal operator matrix determined by a positive bounded operator . For semi-H…
On an extension of operator transforms
Ali Zamani
We introduce the -mean transform of a Hilbert space operator as an extension of some operator transforms based on the Duggal transform by $M_λ(T) := λT + (1-λ…