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The adjoint theorem on A-spaces. (English) Zbl 0947.47001
E. Pap [Zb. Rad. Prir.-Mat. Fak., Univ. Novom Sadu, Ser. Mat. 15, 51-56 (1985; Zbl 0634.47002)] proved that the adjoint operator \(T'\) of any linear operator \(T\) whose domain is a normed \(K\)-space, is bounded. The paper under reviewing gives a generalization of this adjoint theorem to operators whose domain is a locally convex \(A\)-space. The obtained results are applied to derive a version of the Closed Graph Theorem.
MSC:
47A05 General (adjoints, conjugates, products, inverses, domains, ranges, etc.)
46A30 Open mapping and closed graph theorems; completeness (including \(B\)-, \(B_r\)-completeness)
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