Bogdan D. Djordjević

activity

20222026

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

3 citations · 3 across the 6 of their papers we have counts for

collaborators

6 papers

math.CO2026

All doubly stochastic solutions to $A X A = X A X$ when $A$ is a permutation matrix

Bogdan D. Djordjević, Nebojša Č. Dinčić, Yingshan Chen

In this paper we obtain all doubly-stochastic solutions to the Yang-Baxter-like matrix equation $A X A = X A X$ when $A$ is a permutation matrix. We characterize the permutation soluti…

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 Djordjević

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★ 3 cited

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.RA2022

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.…