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math.FA2026
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…
math.FA2026
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…
math.FA2026
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…