Pseudoirreducible and pseudoprimitive bounded operators (Q808181)

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scientific article; zbMATH DE number 4209468
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Pseudoirreducible and pseudoprimitive bounded operators
scientific article; zbMATH DE number 4209468

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    Pseudoirreducible and pseudoprimitive bounded operators (English)
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    1991
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    The authors introduce the concepts of K-N-pseudoirreducible and K-N- pseudoprimitive operators. They analyze the properties of these new classes of operators. It is proven that K-N-pseudoprimitive operators have dominant spectral radius and a K-N-pseudoirreducible operator is convergent if and only if it is K-N-pseudoprimitive.
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    K-positive bounded operators
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    closed normal generating cone
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    Banach space
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    K-N-pseudoprimitive operators
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    K-N-pseudoirreducible operator
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