Abstract
In the present chapter we investigate infinite matrices, whose off diagonal parts are the Hille-Tamarkin matrices. Invertibility conditions and estimates for the norm of the inverse matrices are established. In addition, bounds for the spectrum are suggested. In particular, estimates for the spectral radius are derived.
Keywords
- Spectral Radius
- Volterra Equation
- Eigenvalue Distribution
- Multilinear Algebra
- Diagonal Part
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© 2003 Springer-Verlag Berlin Heidelberg
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Gil’, M.I. (2003). 18 Hille - Tamarkin Matrices. In: Operator Functions and Localization of Spectra. Lecture Notes in Mathematics, vol 1830. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45225-6_18
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DOI: https://doi.org/10.1007/978-3-540-45225-6_18
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-20246-2
Online ISBN: 978-3-540-45225-6
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