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On the existence of Analytic Semigroups Bounded on the Half‐Disc in some Banach Algebras
Author(s) -
Candeal Juan C.,
Galé José E.
Publication year - 1989
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/21.6.573
Subject(s) - mathematics , bounded function , banach space , pure mathematics , property (philosophy) , approximation property , mathematical analysis , philosophy , epistemology
Let G be a locally compact group. We show that L 1 ( G ) does not contain any analytic semigroups which are bounded on the half‐disc, by using some facts about the analytic Radon‐Nikodým property in Banach spaces. This solves a question raised by J. Esterle.