Spectral properties of the adjoint operator and applications.
Benalili, Mohammed, Lansari, Azzedine (2005)
Lobachevskii Journal of Mathematics
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Displaying similar documents to “Extension of spectral scales to unbounded operators.”
Spectral properties of the adjoint operator and applications.
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On the characterization of scalar type spectral operators
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The paper is concerned with conditions guaranteeing that a bounded operator in a reflexive Banach space is a scalar type spectral operator. The cases where the spectrum of the operator lies on the real axis and on the unit circle are studied separately.
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.