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Monotonicity of spectral radius for positive operators on ordered Banach spaces

✍ Scribed by Laura Burlando


Book ID
112495119
Publisher
Springer
Year
1991
Tongue
English
Weight
492 KB
Volume
56
Category
Article
ISSN
0003-889X

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On the spectral radius of positive opera
✍ Roman DrnovΕ‘ek; AljoΕ‘a Peperko πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 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