Results 11 to 20 of about 478,134 (315)
Strengthening of spectral radius, numerical radius, and Berezin radius inequalities [PDF]
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. MatemáticasSuppose $\mathcal{H}_1, \mathcal{H}_2, \ldots, \mathcal{H}_n$ are arbitrary complex Hilbert spaces, and ${\bf A}=[A_{ij}]$ is an $n\times n$ operator matrix with $A_{ij}\in \mathcal{B}(\mathcal{H}_j, \mathcal{H}_i).$ We show that $w({\bf A}) \leq w\left(\begin{bmatrix} a_{ij} \end{bmatrix}_{i,j=1}^n \right),$ where $w(\cdot)$ denotes the numerical ...
Pintu Bhunia
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Joint and Generalized Spectral Radius of Upper Triangular Matrices with Entries in a Unital Banach Algebra [PDF]
Sahand Communications in Mathematical Analysis, 2020 In this paper, we discuss some properties of joint spectral {radius(jsr)} and generalized spectral radius(gsr) for a finite set of upper triangular matrices with entries in a Banach algebra and represent relation between geometric and joint/generalized
Hamideh Mohammadzadehkan +2 more
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Proof of a conjecture on the ϵ-spectral radius of trees
AIMS Mathematics, 2023 The ϵ-spectral radius of a connected graph is the largest eigenvalue of its eccentricity matrix. In this paper, we identify the unique n-vertex tree with diameter 4 and matching number 5 that minimizes the ϵ-spectral radius, and thus resolve a conjecture
Jianping Li , Leshi Qiu , Jianbin Zhang
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Optimizing the Spectral Radius [PDF]
SIAM Journal on Matrix Analysis and Applications, 2013 We suggest a new approach to finding the maximal and the minimal spectral radii of linear operators from a given compact family of operators, which share a common invariant cone (e.g., family of no...
Y. Nesterov, V. Y. Protasov
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A spectral method for retrieving cloud optical thickness and effective radius from surface-based transmittance measurements [PDF]
Atmospheric Chemistry and Physics, 2011 We introduce a new spectral method for the retrieval of optical thickness and effective radius from cloud transmittance that relies on the spectral slope of the normalized transmittance between 1565 nm and 1634 nm, and on cloud transmittance at a visible
P. J. McBride +4 more
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Bounds for the spectral radius of positive operators
Electronic Journal of Differential Equations, 2022 Mohammed Said El Khannoussi +1 more
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Spectral radius of S-essential spectra
Математичні Студії, 2020 In this paper, we study the spectral radius of some S-essential spectra of a bounded linear operator defined on a Banach space. More precisely, via the concept of measure of noncompactness,we show that for any two bounded linear operators $T$ and $S ...
C. Belabbaci
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Spectral radius formulae [PDF]
Proceedings of the Edinburgh Mathematical Society, 1979 If A is a complex Banach algebra (not necessarily unital) and x∈A, σ(x) will denote the spectrum and spectral radius of x in A. If I is a closed two-sided ideal in A let x + I denote the coset in the quotient algebra A/I containing x ...
Murphy, G. J., West, T. T.
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On the distance α-spectral radius of a connected graph
Journal of Inequalities and Applications, 2020 For a connected graph G and α ∈ [ 0 , 1 ) $\alpha \in [0,1)$ , the distance α-spectral radius of G is the spectral radius of the matrix D α ( G ) $D_{\alpha }(G)$ defined as D α ( G ) = α T ( G ) + ( 1 − α ) D ( G ) $D_{\alpha }(G)=\alpha T(G)+(1-\alpha )
Haiyan Guo, Bo Zhou
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Journal of Inequalities and Applications, 2020 In this paper, we obtain a sharp upper bound on the spectral radius of a nonnegative k-uniform tensor and characterize when this bound is achieved. Furthermore, this result deduces the main result in [X. Duan and B.
Chuang Lv, Lihua You, Xiao-Dong Zhang
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