Geometric eigenspace of the generator of \(C_0\)-semigroup of positive operators (Q5937378)

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scientific article; zbMATH DE number 1618959
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Geometric eigenspace of the generator of \(C_0\)-semigroup of positive operators
scientific article; zbMATH DE number 1618959

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    Geometric eigenspace of the generator of \(C_0\)-semigroup of positive operators (English)
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    23 May 2002
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    The author investigate the structure of the geometric eigenspace of the generator of an eventually compact, strongly continuous semigroup of positive operators on a Banach lattice with order continuous norm. It is shown that, is some cases, a basis of the eigenspace can be chosen to consist of elements of the Banach lattice with certain positivity structure.
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    geometric eigenspace
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    generator
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    eventually compact
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    positive operator
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    Banach lattice
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    strongly continuous semigroup
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