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Generation of equicontinuous semigroups by hermitian and sectorial operators. I

Generation of equicontinuous semigroups by hermitian and sectorial operators. I

1. Introduction.This announcement and its sequel [8] conclude a series, beginning with [6] and [7], in which classical Banach-algebraic techniques are adapted to treat problems in operator theory on a general locally convex space (les).These announcements provide a representative sampling of the results which will appear, with full proofs and …