5 papers
Lower and upper bounds of joint -numerical radius functions
Zameddin I. Ismailov, Sergei Silvestrov, Pembe Ipek Al
In this study, the classical results on the joint numerical radius for -tuples of Hilbert space operators are extended to the setting of the joint -numerical radius. New…
Some Spectral Problems for First Order Normal Differential Operators in the Weighted Hilbert Spaces of Vector-Functions
Zameddin I. Ismailov, Pembe Ipek Al, Mohammad Sababheh
In this article, in order to the minimal operator generated by the first-order differential-operator expression in the weighted Hilbert space of vector functions in the finite inte…
A new collection of tuple operator inequalities
Zameddin I. Ismailov, Pembe Ipek Al, Hamid Reza Moradi +1
In this paper, we present several new bounds for the norm and numerical radius of sums of Hilbert space operators. The obtained bounds form a new collection that enriches our under…
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…
Generalizations of the Numerical Radius, Crawford Number and Numerical Index Functions in the Weighted Case
Zameddin I. Ismailov, Pembe Ipek Al
In this article, firstly, some simple and smoothness properties of the weighted numerical radius and the weighted Crawford number functions are investigated. Then, some generalizat…