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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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