A connection between spectral radius and trace
J. Długosz (1981)
Colloquium Mathematicae
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Displaying similar documents to “Spectral isometries”
A connection between spectral radius and trace
Towards a non-selfadjoint version of Kadison's theorem.
Mathieu, Martin (2005)
Annales Mathematicae et Informaticae
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Spectral radius and seminorms in finite-dimensional algebras. II
Robert Grone, Peter D. Johnson, Jr. (1982)
Colloquium Mathematicae
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Spectral radius and seminorms in finite-dimensional algebras
Peter D. Johnson, Jr. (1978)
Colloquium Mathematicae
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A spectral approach to the Kaplansky problem
Mostafa Mbekhta, Jaroslav Zemánek (2007)
Banach Center Publications
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Spectral Light as Sculptured Space
Irene Rousseau (2001)
Visual Mathematics
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Spectral properties of the adjoint operator and applications.
Benalili, Mohammed, Lansari, Azzedine (2005)
Lobachevskii Journal of Mathematics
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An up-spectral space need not be -spectral.
Echi, Othman, Gargouri, Riyadh (2004)
The New York Journal of Mathematics [electronic only]
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The Direct and Inverse Spectral Problems for some Banded Matrices
Zagorodnyuk, S. M. (2011)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 15A29. In this paper we introduced a notion of the generalized spectral function for a matrix J = (gk,l)k,l = 0 Ґ, gk,l О C, such that gk,l = 0, if |k-l | > N; gk,k+N = 1, and gk,k-N № 0. Here N is a fixed positive integer. The direct and inverse spectral problems for such matrices are stated and solved. An integral representation for the generalized spectral function is obtained.
Superconvexity of the Spectral Radius, and Convexity of the Spectral Bound and the Type.
Tosio Kato (1982)
Mathematische Zeitschrift
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A sharp upper bound for the spectral radius of a nonnegative matrix and applications
Lihua You, Yujie Shu, Xiao-Dong Zhang (2016)
Czechoslovak Mathematical Journal
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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 distance spectral radius, the distance Laplacian spectral radius, the distance signless Laplacian spectral radius of an undirected graph or a digraph. These results are new or generalize some known results.
The upper estimate of the spectral radius of the isotonic operator in the space of continuous functions.
Rakhmatullina, L.F. (1997)
Memoirs on Differential Equations and Mathematical Physics
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κ-deformation, affine group and spectral triples
Bruno Iochum, Thierry Masson, Andrzej Sitarz (2012)
Banach Center Publications
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A regular spectral triple is proposed for a two-dimensional κ-deformation. It is based on the naturally associated affine group G, a smooth subalgebra of C*(G), and an operator 𝓓 defined by two derivations on this subalgebra. While 𝓓 has metric dimension two, the spectral dimension of the triple is one. This bypasses an obstruction described in [35] on existence of finitely-summable spectral triples for a compactified κ-deformation.
On the spectral Nevanlinna-Pick problem
Constantin Costara (2005)
Studia Mathematica
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We give several characterizations of the symmetrized n-disc Gₙ which generalize to the case n ≥ 3 the characterizations of the symmetrized bidisc that were used in order to solve the two-point spectral Nevanlinna-Pick problem in ℳ ₂(ℂ). Using these characterizations of the symmetrized n-disc, which give necessary and sufficient conditions for an element to belong to Gₙ, we obtain necessary conditions of interpolation for the general spectral Nevanlinna-Pick problem. They also allow us...