The Critical Spectrum of a Strongly Continuous Semigroup

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The Critical Spectrum of a Strongly Continuous Semigroup

For a strongly continuous semigroup (T (t))t≥0 with generator A we introduce its critical spectrum σcrit(T (t)). This yields in an optimal way the spectral mapping theorem σ(T (t)) = e ∪ σcrit(T (t)) and improves classical stability results.

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ژورنال

عنوان ژورنال: Advances in Mathematics

سال: 2000

ISSN: 0001-8708

DOI: 10.1006/aima.1998.1893