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Convergence theorems and Tauberian theorems for functions and sequences in Banach spaces and Banach lattices

✍ Scribed by Yuan-Chuan Li; Ryotaro Sato; Sen-Yen Shaw


Book ID
107529013
Publisher
The Hebrew University Magnes Press
Year
2007
Tongue
English
Weight
344 KB
Volume
162
Category
Article
ISSN
0021-2172

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We present a spectral mapping theorem for continuous semigroups of operators on any Banach space \(E\). The condition for the hyperbolicity of a semigroup on \(E\) is given in terms of the generator of an evolutionary semigroup acting in the space of \(E\)-valued functions. The evolutionary semigrou