Zobrazeno 1 - 10
of 441
pro vyhledávání: '"Kittaneh, Fuad"'
Autor:
Kittaneh, Fuad, Zamani, Ali
We define a function on the $C^{\ast}$-algebra of all bounded linear Hilbert space operators, which generalizes the operator radii, and we present some basic properties of this function. Our results extend several results in the literature.
Externí odkaz:
http://arxiv.org/abs/2405.16320
Autor:
Kittaneh, Fuad, Zamani, Ali
We study the concepts of Birkhoff--James orthogonality and parallelism in Hilbert space operators, induced by the operator radius norm $w_{\rho}(\cdot)$. In particular, we completely characterize Birkhoff--James orthogonality and parallelism with res
Externí odkaz:
http://arxiv.org/abs/2405.07629
The main goal of this article is to establish several new $\mathbb{A}$-numerical radius equalities and inequalities for $n\times n$ cross-diagonal, left circulant, skew left circulant operator matrices, where $\mathbb{A}$ is the $n\times n$ diagonal
Externí odkaz:
http://arxiv.org/abs/2312.12093
Operator matrices have played a significant role in studying Hilbert space operators. In this paper, we discuss further properties of operator matrices and present new estimates for the operator norms and numerical radii of such operators. Moreover,
Externí odkaz:
http://arxiv.org/abs/2206.12966
Autor:
Kittaneh, Fuad, Zamani, Ali
Publikováno v:
In Linear Algebra and Its Applications 15 September 2024 697:32-48
Autor:
Kittaneh, Fuad, Zamani, Ali
Publikováno v:
In Linear Algebra and Its Applications 15 April 2024 687:132-156
Autor:
BAKHERAD, MOJTABA1 mojtaba.bakherad@gmail.com, KITTANEH, FUAD2 fkitt@ju.edu.jo
Publikováno v:
Constructive Mathematical Analysis. 2024, Vol. 7 Issue 1, p12-29. 18p.
The numerical radius of a matrix is a scalar quantity that has many applications in the study of matrix analysis. Due to the difficulty in computing the numerical radius, inequalities bounding it have received a considerable attention in the literatu
Externí odkaz:
http://arxiv.org/abs/2007.08654
In this paper, we discuss new inequalities for accretive matrices through non standard domains. In particular, we present several relations for $A^r$ and $A\sharp_rB$, when $A,B$ are accretive and $r\in (-1,0)\cup (1,2).$ This complements the well es
Externí odkaz:
http://arxiv.org/abs/2007.08650
The main goal of this paper is to discuss the recent advancements of operator means for accretive matrices in a more general setting. In particular, we present the general form governing the well established definition of geometric mean, then we defi
Externí odkaz:
http://arxiv.org/abs/2002.11090