A Spectral Mapping Theorem for Holomorphic Functions.
Robin Harte (1977)
Mathematische Zeitschrift
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Robin Harte (1977)
Mathematische Zeitschrift
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E. Vesentini (1972)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Mostafa Mbekhta, Jaroslav Zemánek (2007)
Banach Center Publications
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Irene Rousseau (2001)
Visual Mathematics
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Tosio Kato (1982)
Mathematische Zeitschrift
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Anar Dosiev (2005)
Banach Center Publications
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In this paper we suggest a general framework of the spectral mapping theorem in terms of parametrized Banach space bicomplexes.
Benalili, Mohammed, Lansari, Azzedine (2005)
Lobachevskii Journal of Mathematics
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Rakhmatullina, L.F. (1997)
Memoirs on Differential Equations and Mathematical Physics
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Robert Grone, Peter D. Johnson, Jr. (1982)
Colloquium Mathematicae
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Peter D. Johnson, Jr. (1978)
Colloquium Mathematicae
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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.
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.