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Dichotomy Results for Norm Estimates in Operator Semigroups

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Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 250))

Abstract

The results in this survey indicate that the quantitative behaviour of the semigroup at the origin provides additional qualitative information, such as uniform continuity or analyticity.

Dedicated to Charles Batty on the occasion of his sixtieth birthday

Mathematics Subject Classification (2010). Primary 47D03, 46J40, 46H30; Secondary 30A42, 47A60

In line with an Oxford tradition,

Charles Batty was sent on a mission:

to instruct all the troops

in C0 semigroups –

this indeed was a brilliant decision!

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Correspondence to I. Chalendar .

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Chalendar, I., Esterle, J., Partington, J.R. (2015). Dichotomy Results for Norm Estimates in Operator Semigroups. In: Arendt, W., Chill, R., Tomilov, Y. (eds) Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics. Operator Theory: Advances and Applications, vol 250. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-18494-4_8

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