Spectral Representations for Unbounded Operators with Real Spectrum.
S. Kantorovitz, R. J. Hughes (1988)
Mathematische Annalen
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S. Kantorovitz, R. J. Hughes (1988)
Mathematische Annalen
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Xiaogen Chen (2015)
Special Matrices
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Let B2m denote the Brualdi-Li matrix of order 2m, and let ρ2m = ρ(B2m ) denote the spectral radius of the Brualdi-Li Matrix. Then [...] . where m > 2, e = 2.71828 · · · , [...] and [...] .
P. A. Cojuhari, A. M. Gomilko (2008)
Studia Mathematica
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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.
J. Janas (1984)
Annales Polonici Mathematici
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Luong Dinh Tin (1978)
Acta Universitatis Carolinae. Mathematica et Physica
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Alan McIntosh, Alan Pryde, Werner Ricker (1988)
Studia Mathematica
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Kublanovskaya, V.N. (2005)
Zapiski Nauchnykh Seminarov POMI
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Jorma K. Merikoski, Pentti Haukkanen, Mika Mattila, Timo Tossavainen (2018)
Special Matrices
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Consider the recursion g0 = a, g1 = b, gn = gn−1 + gn−2, n = 2, 3, . . . . We compute the Frobenius norm of the r-circulant matrix corresponding to g0, . . . , gn−1. We also give three lower bounds (with equality conditions) for the spectral norm of this matrix. For this purpose, we present three ways to estimate the spectral norm from below in general.
V. Caselles, F. Aràndiga (1992)
Mathematische Zeitschrift
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S. J. Bhatt, M. Fragoulopoulou, A. Inoue (2005)
Banach Center Publications
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In this brief account we present the way of obtaining unbounded *-representations in terms of the so-called "unbounded" C*-seminorms. Among such *-representations we pick up a special class with "good behaviour" and characterize them through some properties of the Pták function.
Janaki, T.M., Rangarajan, Govindan (2003)
International Journal of Mathematics and Mathematical Sciences
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Altun, Muhammed (2011)
International Journal of Mathematics and Mathematical Sciences
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Clark, Sean, Li, Chi-Kwong, Rodman, Leiba (2008)
Banach Journal of Mathematical Analysis [electronic only]
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Jonathan Dorsey, Tom Gannon, Charles R. Johnson, Morrison Turnansky (2016)
Czechoslovak Mathematical Journal
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Our purpose is to present a number of new facts about the structure of semipositive matrices, involving patterns, spectra and Jordon form, sums and products, and matrix equivalence, etc. Techniques used to obtain the results may be of independent interest. Examples include: any matrix with at least two columns is a sum, and any matrix with at least two rows, a product, of semipositive matrices. Any spectrum of a real matrix with at least elements is the spectrum of a square semipositive...