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pro vyhledávání: '"ROY, FALGUNI"'
Recommender systems are essential for personalizing digital experiences on e-commerce sites, streaming services, and social media platforms. While these systems are necessary for modern digital interactions, they face fairness, bias, threats, and pri
Externí odkaz:
http://arxiv.org/abs/2409.12651
Autor:
Biswas, Rounak, Roy, Falguni
Consider a complex unital Banach algebra $\mathcal{A}.$ For $x_1,x_2,x_3\in\mathcal{A},$ in this paper, we establish that under certain assumptions on $x_1,x_2,x_3$, Drazin (resp. g-Drazin) invertibility of any three elements among $x_1,x_2,x_3$ and
Externí odkaz:
http://arxiv.org/abs/2405.08615
Autor:
Biswas, Rounak, Roy, Falguni
For two given idempotents $p\text{ and }q$ from an associative algebra $\mathcal{A},$ in this paper, we offer a comprehensive classification of algebras spanned by the idempotents $p\text{ and }q$. This classification is based on the condition that $
Externí odkaz:
http://arxiv.org/abs/2402.11460
Autor:
Biswas, Rounak, Roy, Falguni
Given a complex Banach space $X$, let $\mathcal{B}(X)$ be the collection of all bounded linear operators on $X.$ For $A,B\in\mathcal{B}(X)$ we define $A,B$ are $A$-weakly commutative if there exists $C\in\mathcal{B}(X)$ satisfying $$AB=CA\text{ and }
Externí odkaz:
http://arxiv.org/abs/2312.05002
Autor:
Chowdhry, Geeta, Roy, Falguni
This paper presents a novel extension of the $\{1,2,3,1^{k}\}$-inverse concept to complex rectangular matrices, denoted as a $W$-weighted $\{1,2,3,1^{k}\}$-inverse (or $\{1',2',3',{1^{k}}'\}$-inverse), where the weight $W \in \mathbb{C}^{n \times m}$
Externí odkaz:
http://arxiv.org/abs/2312.01370
Autor:
Patra, Arnab, Roy, Falguni
This article introduces several new upper bounds for the $q$-numerical radius of bounded linear operators on complex Hilbert spaces. Our results refine some of the existing upper bounds in this field. The $q$-numerical radius inequalities of products
Externí odkaz:
http://arxiv.org/abs/2306.04296
Autor:
Biswas, Rounak, Roy, Falguni
Publikováno v:
In Linear Algebra and Its Applications 15 January 2025 705:185-206
Autor:
Akter, Moushumi, Anjum, Nishat, Roy, Falguni, Yasmin, Sabina, Sohany, Mouluda, Mahomud, Md Sultan
Publikováno v:
In Journal of Agriculture and Food Research March 2023 11
Publikováno v:
In Applied Mathematics and Computation 15 April 2020 371
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