From the 1 of 7 linked papers with an AI index.
7 papers
Improved upper bounds for the Berezin numbers of operators on reproducing kernel Hilbert spaces
Riddhick Birbonshi, Sumon Ghosh, Fuad Kittaneh +2
The paper derives new upper bounds for the Berezin numbers of bounded linear operators on reproducing kernel Hilbert spaces using interpolation paths of symmetric means and Orlicz…
On the geometry of the algebraic Davis--Wielandt shell and norm-parallelism in -algebra
Debarati Bhattacharya, Fuad Kittaneh, Arnab Patra +1
This article is devoted to the study of the Davis--Wielandt shell and the Davis--Wielandt radii of elements in a -algebra. Utilizing a state-space approach, several geometric…
Some spectral properties and convergence of the -numerical radius and -Crawford number
Pembe Ipek Al, Zameddin I. Ismailov, Fuad Kittaneh +1
In this study, some estimates are given for the -numerical radius and -Crawford number via the -numerical radius and -Crawford number for the -bounded…
On the estimation of the -numerical radius via Orlicz functions
Fuad Kittaneh, Arnab Patra, Jyoti Rani
This study utilizes Orlicz functions to provide refined lower and upper bounds on the q-numerical radius of an operator acting on a Hilbert space. Additionally, the concept of q-se…
On inequalities involving the spherical operator transforms
Fuad Kittaneh, Satyajit Sahoo, Hranislav StankoviÄ
This paper explores refinements of some operator norm inequalities through the generalized spherical Aluthge transform and the spherical Heinz transform. We introduce the spherical…
An extension of the -operator radii
Fuad Kittaneh, Ali Zamani
We define a function on the -algebra of all bounded linear Hilbert space operators, which generalizes the operator radii, and we present some basic properties of this fun…