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The maximal subspace for generation of \((a, k)\)-regularized families - MaRDI portal

The maximal subspace for generation of \((a, k)\)-regularized families (Q1938271)

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scientific article; zbMATH DE number 6134144
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The maximal subspace for generation of \((a, k)\)-regularized families
scientific article; zbMATH DE number 6134144

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    The maximal subspace for generation of \((a, k)\)-regularized families (English)
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    4 February 2013
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    Summary: Let \(A\) be a linear operator in a Banach space \(X\). We define a subspace of \(X\) and a norm such that the part of \(A\) in such subspace generates an \((a, k)\)-regularized resolvent family. This space is maximal-unique in a suitable sense and nontrivial, under certain conditions on the kernels \(a\) and \(k\).
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