It is shown that a general concept of Morita duality between abelian categories with no generating hypothesis for reflexive objects is completely described by a special class of quasi-abelian categories, called ample Morita categories. The duality takes place between a pair of intrinsic abelian full subcategories which exist for any quasi-abelian category. Morita categories, being slightly more general, admit a natural embedding into ample ones. An existence criterion for a duality of a Morita category is proved. It generalizes Pontrjagin duality for the category of locally compact abelian groups which is shown to be a non-ample non-classical Morita category. More examples of non-classical Morita categories are obtained from dual systems of topological vector spaces satisfying the Hahn-Banach property.

结果表明，阿贝尔范畴之间的 Morita 对偶性的一般概念，对自反对象没有生成假设，完全由一类特殊的拟阿贝尔范畴来描述，称为充足 Morita 范畴。二元性发生在任何准阿贝尔范畴存在的一对内在阿贝尔全子范畴之间。Morita 类别稍微更一般，承认自然嵌入到充足的类别中。证明了 Morita 范畴的对偶性的存在准则。它概括了局部紧阿贝尔群的范畴的 Pontrjagin 对偶性，该群被证明是一个非充足的非经典 Morita 范畴。从满足 Hahn-Banach 性质的拓扑向量空间的对偶系统中获得了更多非经典 Morita 范畴的例子。