Results 31 to 40 of about 2,028,246 (339)
Automatic Continuity of Dense Range Homomorphisms into Multiplicatively Semisimple Complete Normed Algebras [PDF]
The following open problem state that: If is a dense range homomorphism from Banach algebra into Banach algebra such that is semisimple. Is automatically continuous?
RUQAYAH BALO
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Some sufficient conditions on hamilton graphs with toughness
Let G be a graph, and the number of components of G is denoted by c(G). Let t be a positive real number. A connected graph G is t-tough if tc(G − S) ≤ |S| for every vertex cut S of V(G). The toughness of G is the largest value of t for which G is t-tough,
Gaixiang Cai+4 more
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Some A-spectral radius inequalities for A-bounded Hilbert space operators [PDF]
Let rA(T)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$r_A(T)$$\end ...
Kais Feki
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The Maximum Spectral Radius of Graphs Without Friendship Subgraphs
A graph on $2k+1$ vertices consisting of $k$ triangles which intersect in exactly one common vertex is called a $k-$friendship graph and denoted by $F_k$.
S. Cioabă+3 more
semanticscholar +1 more source
A Sharp upper bound for the spectral radius of a nonnegative matrix and applications [PDF]
In this paper, we obtain a sharp upper bound for the spectral radius of a nonnegative matrix. This result is used to present upper bounds for the adjacency spectral radius, the Laplacian spectral radius, the signless Laplacian spectral radius, the ...
Shu, Yujie, You, Lihua, Zhang, Xiao-Dong
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Co-spectral radius of intersections
AbstractWe study the behavior of the co-spectral radius of a subgroupHof a discrete group$\Gamma $under taking intersections. Our main result is that the co-spectral radius of an invariant random subgroup does not drop upon intersecting with a deterministic co-amenable subgroup.
MIKOLAJ FRACZYK, WOUTER VAN LIMBEEK
openaire +4 more sources
Spectral Radius Formulas Involving Generalized Aluthge Transform
In this paper, we aim to develop formulas of spectral radius for an operator S in terms of generalized Aluthge transform, numerical radius, iterated generalized Aluthge transform, and asymptotic behavior of powers of S.
Zhiqiang Zhang+4 more
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On the Distance Spectral Radius of Trees with Given Degree Sequence
We consider the problem of maximizing the distance spectral radius and a slight generalization thereof among all trees with some prescribed degree sequence.
Dadedzi Kenneth+2 more
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The spectral radius and Liapunov's theorem
AbstractA familiar theorem of Liapunov pertaining to stability of complex matrices is proved anew and extended to bounded linear operators on a Hilbert space. The extension depends on an identity of Taussky which connects equations of the form x − axb = c with those of the form ux + xv + w = 0. Another ingredient in our method is the notion of abscissa
Ray Redheffer, R. Redlinger
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A Gel'fand-type spectral radius formula and stability of linear constrained switching systems [PDF]
Using ergodic theory, in this paper we present a Gel'fand-type spectral radius formula which states that the joint spectral radius is equal to the generalized spectral radius for a matrix multiplicative semigroup $\bS^+$ restricted to a subset that need ...
Dai, Xiongping
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