most citedBounded cosine functions close to continuous scalar bounded cosine functions

1 citations · 2 across the 2 of their papers we have counts for

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3 papers

math.FA2015★ 1 cited

Lower estimates near the origin for functional calculus on operator semigroups

I. Chalendar, J. Esterle, J. R. Partington

This paper provides sharp lower estimates near the origin for the functional calculus of a generator of an operator semigroup defined on the (strictly) positive real l…

math.FA2015

Dichotomy results for norm estimates in operator semigroups

I. Chalendar, J. Esterle, J. R. Partington

This is a survey paper concerned with strongly continuous semigroups in a Banach algebra (often itself simply the algebra of bounded linear operators on a Banach space). These are…

math.FA2015★ 1 cited

Bounded cosine functions close to continuous scalar bounded cosine functions

Jean Esterle

Let be a cosine function in a unital Banach algebra. We show that if $sup\_{t\in R}\Vert C(t)-cos(t)\Vert \textless{} 2$ for some continuous scalar bounded cosi…