It is shown that every two-variable adjunction in categories enriched in a commutative quantale serves as a base for constructing Isbell adjunctions between functor categories, and Kan adjunctions are precisely Isbell adjunctions constructed from suitable associated two-variable adjunctions. Representation theorems are established for fixed points of these adjunctions.

中文翻译：

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Isbell Adjunctions 和 Kan Adjunctions 通过 Quantale-Enriched 二变量 Adjunctions

结果表明，在一个交换量词中丰富的范畴中的每一个二变量附加词都是构造函子范畴之间的 Isbell 附加词的基础，而 Kan 附加词正是由合适的相关联的二变量附加词构成的 Isbell 附加词。为这些附加的不动点建立了表示定理。