Abstract
In the present chapter, the Hille-Tamarkin integral operators on space L p[0, 1] are considered. Invertibility conditions, estimates for the norm of the inverse operators and positive invertibility conditions are established. In addition, bounds for the spectral radius are suggested. Applications to nonselfadjoint differential operators and integro-differential ones are also discussed.
Keywords
- Integral Operator
- Spectral Theory
- Spectral Radius
- Operator Versus
- Inverse Operator
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© 2003 Springer-Verlag Berlin Heidelberg
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Gil’, M.I. (2003). 16 Hille - Tamarkin Integral Operators. 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_16
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DOI: https://doi.org/10.1007/978-3-540-45225-6_16
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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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