New unitary equivalences for some operator matrices with applications

O Abdollahi, S Karami, J Rooin - Linear and Multilinear Algebra, 2023 - Taylor & Francis
In this paper, first we consider cross-diagonal, in particular off-diagonal, operator matrices;
those operator matrices such that all entries except those on the main and off diagonals are …

[PDF][PDF] General upper bounds for the numerical radius on complex Hilbert space

M Al-Dolat, K Al-Zoubi - Journal of …, 2023 - … .s3.ap-south-1.amazonaws.com
Let () BH be the* C algebra of all bounded linear operators on the complex Hilbert space. H
The numerical radius (.), w the spectral radius (.), r and the usual operator norm||.|| for() …