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In the class of scalar type spectral operators in a complex Banach space, a characterization of the generators of analytic C0-semigroups in terms of the analytic vectors of the operators is found

abstract and applied analysis

A characterization of the generators of analytic<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$C_0$"><mml:msub><mml:mi>C</mml:mi><mml:mn>0</mml:mn></mml:msub></mml:math>-semigroups in the class of scalar type spectral operators

A characterization of the generators of analyticC0-semigroups in the class of scalar type spectral operators