Zobrazeno 1 - 10
of 146
pro vyhledávání: '"47a50"'
Publikováno v:
Filomat 38 (2024), no.8, 2587-2599
We develop several upper and lower bounds for the $A$-Euclidean operator radius of $2$-tuple operators admitting $A$-adjoint, and show that they refine the earlier related bounds. As an application of the bounds developed here, we obtain sharper $A$-
Externí odkaz:
http://arxiv.org/abs/2308.09261
Let $T$ be a bounded linear operator on a complex Hilbert space $\mathscr{H}.$ We obtain various lower and upper bounds for the numerical radius of $T$ by developing the Euclidean operator radius bounds of a pair of operators, which are stronger than
Externí odkaz:
http://arxiv.org/abs/2308.09252
Publikováno v:
Linear Algebra Appl. 694, 2024, pages 360-413
A real linear combination of products of minors which is nonnegative over all totally nonnegative (TN) matrices is called a determinantal inequality for these matrices. It is referred to as multiplicative when it compares two collections of products
Externí odkaz:
http://arxiv.org/abs/2305.16485
Autor:
Mitidieri Enzo
Publikováno v:
Analysis and Geometry in Metric Spaces, Vol 12, Iss 1, Pp 26551-558 (2024)
Our review of Liouville theorems includes a special focus on nonlinear partial differential equations and inequalities.
Externí odkaz:
https://doaj.org/article/cf474f1ec03643d0885e28067261cb4c
In this paper, we develop several Euclidean operator radius inequalities of $d$-tuple operators, as well as the sum and the product of $d$-tuple operators. Also, we obtain a power inequality for the Euclidean operator radius. Further, we develop Eucl
Externí odkaz:
http://arxiv.org/abs/2304.08033
Using a Hilbert space framework inspired by the methods of orthogonal projections and Hodge decompositions, we study a general class of problems (called Z-problems) that arise in effective media theory, especially within the theory of composites, for
Externí odkaz:
http://arxiv.org/abs/2210.05761
Let $A$ be a closed affine subspace and let $B$ be a hyperplane in a Hilbert space. Suppose we are given their associated nearest point mappings $P_A$ and $P_B$, respectively. We present a formula for the projection onto their intersection $A\cap B$.
Externí odkaz:
http://arxiv.org/abs/2206.11373
Publikováno v:
Proc. Indian Acad. Sci. Math. Sci.133 (2023), no.1, Paper No. 3, 12 pp
The two well-known numerical radius inequalities for the tensor product $A \otimes B$ acting on $\mathbb{H} \otimes \mathbb{K}$, where $A$ and $B$ are bounded linear operators defined on complex Hilbert spaces $\mathbb{H} $ and $ \mathbb{K},$ respect
Externí odkaz:
http://arxiv.org/abs/2203.12162
Autor:
Bhunia, Pintu, Paul, Kallol
We develop upper and lower bounds for the numerical radius of $2\times 2$ off-diagonal operator matrices, which generalize and improve on the existing ones. We also show that if $A$ is a bounded linear operator on a complex Hilbert space and $|A|$ st
Externí odkaz:
http://arxiv.org/abs/2110.02505
Publikováno v:
Funct. Anal. Appl. 57 (2023), no.1, 18-28
We develop various lower bounds for the numerical radius $w(A)$ of a bounded linear operator $A$ defined on a complex Hilbert space, which improve the existing inequality $w^2(A)\geq \frac{1}{4}\|A^*A+AA^*\|$. In particular, for $r\geq 1$, we show th
Externí odkaz:
http://arxiv.org/abs/2110.02499