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Banach Algebra of Bounded Complex-Valued Functionals

Katuhiko Kanazashi, Hiroyuki Okazaki, Yasunari Shidama (2011)

Formalized Mathematics

In this article, we describe some basic properties of the Banach algebra which is constructed from all bounded complex-valued functionals.

Boundary values of analytic semigroups and associated norm estimates

Isabelle Chalendar, Jean Esterle, Jonathan R. Partington (2010)

Banach Center Publications

The theory of quasimultipliers in Banach algebras is developed in order to provide a mechanism for defining the boundary values of analytic semigroups on a sector in the complex plane. Then, some methods are presented for deriving lower estimates for operators defined in terms of quasinilpotent semigroups using techniques from the theory of complex analysis.

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