The goal of this paper is to develop the theory Schur complementation in context operators acting on anti-dual pairs. As a byproduct, we obtain natural generalization parallel sum and difference, as well Lebesgue-type decomposition. To demonstrate how operator approach works application, derive corresponding results for rigged Hilbert spaces, representable functionals ⁎-algebras.

HE arom gene cluster in Neurospora crassa consists of five structural genes Twhich encode an aggregate of five aromatic synthetic enzymes catalyzing steps two through six in the pre-chorismic acid part of the polyaromatic synthetic pathway. Allelic complementation has been detected between certain pairs of mutants within two of the five genes in the cluster-the arom-2 gene which encodes dehydro...