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Vector-valued laplace transforms and cauchy problems

✍ Scribed by Wolfgang Arendt


Book ID
112889590
Publisher
The Hebrew University Magnes Press
Year
1987
Tongue
English
Weight
977 KB
Volume
59
Category
Article
ISSN
0021-2172

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## Abstract It is shown that for any locally compact abelian group 𝔾 and 1 ≀ __p__ ≀ 2, the Fourier type __p__ norm with respect to 𝔾 of a bounded linear operator __T__ between Banach spaces, denoted by β€–__T__ |ℱ𝒯^𝔾^~__p__~β€–, satisfies β€–__T__ |ℱ𝒯^𝔾^~__p__~β€– ≀ β€–__T__ |ℱ𝒯^𝔸^~__p__~β€–, where 𝔸 is the d