Abstract
In the present chapter we derive estimates for the norms of operator-valued functions in a Euclidean space. In addition, we prove relations for eigenvalues of finite matrices, which improve Schur’s and Brown’s inequalities.
Keywords
- Matrix Function
- Require Result
- Maximal Chain
- Closed Convex Hull
- Inequality Versus
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© 2003 Springer-Verlag Berlin Heidelberg
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Gil’, M.I. (2003). 2 Norms of Matrix-Valued Functions. 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_2
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DOI: https://doi.org/10.1007/978-3-540-45225-6_2
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-20246-2
Online ISBN: 978-3-540-45225-6
eBook Packages: Springer Book Archive
