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Essential Spectral Inclusions for Operators on Banach Spaces

✍ Scribed by T. Len Miller; Vivien G. Miller; Michael M. Neumann

Publisher
SP Birkhäuser Verlag Basel
Year
2009
Tongue
English
Weight
275 KB
Volume
6
Category
Article
ISSN
1660-5446

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On the spectral radius of positive opera
On the spectral radius of positive operators on Banach sequence spaces
✍ Roman Drnovšek; Aljoša Peperko 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 144 KB

Let K 1 , . . . , K n be (infinite) non-negative matrices that define operators on a Banach sequence space. Given a function f : ) of n variables, we define a nonnegative matrix f (K 1 , . . . , K n ) and consider the inequality where r denotes the spectral radius. We find the largest function f fo