Even though I am not accustomed to the term determiner , I can say that his another performance is ungrammatical. His cannot be followed by an: His an old father. CB
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Cool BreezeIn the word another an is an indefinite article even though another is one word and not spelt an other. The reason that his another performance is ungrammatical is that his, being a possessive word, cannot be followed by any article (a, an; the). No article is possible after my, your, his, her, its, our and th