Addendum: Systems of Toda Type, Inverse Spectral Problems, and Representation Theory.
W.W. Symes (1981)
Inventiones mathematicae
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W.W. Symes (1981)
Inventiones mathematicae
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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.
Robin Harte, Mostafa Mbekhta (1993)
Studia Mathematica
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Commutativity and continuity conditions for the Moore-Penrose inverse and the "conorm" are established in a C*-algebra; moreover, spectral permanence and B*-properties for the conorm are proved.
Mostafa Mbekhta, Jaroslav Zemánek (2007)
Banach Center Publications
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Benalili, Mohammed, Lansari, Azzedine (2005)
Lobachevskii Journal of Mathematics
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Irene Rousseau (2001)
Visual Mathematics
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Trung Dinh Tran (2002)
Applications of Mathematics
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The paper defines and studies the Drazin inverse for a closed linear operator in a Banach space in the case that belongs to a spectral set of the spectrum of . Results are applied to extend a result of Krein on a nonhomogeneous second order differential equation in a Banach space.
Tosio Kato (1982)
Mathematische Zeitschrift
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