Bogdan D. Djordjević

collaborators

5 papers

math.RA2026

Commutator-based Solutions to $A X A = X A X$ when $A^{n} = t A^{2}$

Bogdan D. Djordjevic, Nebojsa C. Dincic, Mihailo Djuric

This paper offers a novel analytical method for obtaining new non-commuting solutions for the Yang-Baxter-like matrix equation $A X A = X A X$ , when the coefficient matrix $A$ satisfies…

quant-ph2026

Variants of the Quantum Phase Operator for the Harmonic Oscillator

Bogdan D. Djordjevic, Nikolay A. Ivanov

We introduce and study quantum phase operators associated with the Quantum Harmonic Oscillator (QHO). We show that these operators are trace-class perturbations of the Susskind-Glo…

math.FA2026

Solving the Sylvester equation in Banach modules

Bogdan DjordjeviÄ

For given unital complex Banach algebras $A_{1}$ and $A_{2}$ , let $M$ be a Banach module acting between them. Let $a \in A_{1}$ , $b\in\mathcal{A}_…

math.OA2024

On representations and topological aspects of positive maps on non-unital quasi *-algebras

Stefan Ivkovic, Bogdan D. Djordjevic, Giorgia Bellomonte

In this paper, we provide a representation of a certain class of C*-valued positive sesquilinear and linear maps on non-unital quasi *-algebras. Also, we illustrate our results on…

math.RA2024

Solutions to a system of Yang-Baxter matrix equations

Himadri Mukherjee, Askar Ali M, Bogdan D. Djordjevic

In this article, a system of Yang-Baxter-type matrix equations is studied, $X A X = B X B$ , $X B X = A X A$ , which "generalizes" the matrix Yang-Baxter equation and exhibits a broken symmetry.…