Displaying similar documents to “Discrete spectrum and principal functions of non-selfadjoint differential operator”

On the joint spectral radius

Vladimír Müller (1997)

Annales Polonici Mathematici

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We prove the -spectral radius formula for n-tuples of commuting Banach algebra elements

Spectral sets and the Drazin inverse with applications to second order differential equations

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.

On the zero set of the Kobayashi-Royden pseudometric of the spectral unit ball

Nikolai Nikolov, Pascal J. Thomas (2008)

Annales Polonici Mathematici

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Given A∈ Ωₙ, the n²-dimensional spectral unit ball, we show that if B is an n×n complex matrix, then B is a “generalized” tangent vector at A to an entire curve in Ωₙ if and only if B is in the tangent cone to the isospectral variety at A. In the case of Ω₃, the zero set of the Kobayashi-Royden pseudometric is completely described.