Related for Shabbat 306:2
כי תיבעי לך אליבא דרבנן דתנן חמשה לא יתרומו ואם תרמו אין תרומתן תרומה אלו הן חרש שוטה וקטן והתורם את שאינו שלו ונכרי שתרם את של ישראל אפילו ברשותו אין תרומתו תרומה
The question is on the Rabbis' view. For we learnt: Five must not separate <i>terumah</i>, and if they do their separation is not valid. And these are they: a deaf-mute, imbecile, minor, one who separates <i>terumah</i> on [produce] that is not his,<span class="x" onmousemove="('comment',' Without having been previously authorized. ');"><sup>2</sup></span>
Mishnah Terumot
Five may not give terumah, and if they do so, their terumah is not considered terumah:A heresh (deaf-mute); an imbecile, a minor, And the one who gives terumah from that which is not his own. If a non-Jew gave terumah from that which belongs to an Israelite, even if it was with his permission, his terumah is not terumah.
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Tosefta Terumot
A Gentile that separates the terumah of his friends (חבריו not חברים per the GR"A), or of a Jew, even with permission, his terumah is not [valid] terumah (Ter. 1:1). It so happened in Pinah (alt. "in Pigah" =בפיגא), that a certain Jew said to a Gentile, "Separate the terumah of my threshing floor." And he separated the terumah, and [subseqently] the terumah fell back onto the threshing floor [becoming mixed with the rest of the produce]. And this matter came before Rabban Gamaliel (alt., "Shimon ben Gamaliel") and he said, "Since the Gentile separated the terumah, it is not [valid] terumah," [and thus the resulting mixture is not forbidden]. Rabbi Yitzhak says, a Gentile that separates the terumah of a Jew, and the owners [of the produce] remain near him [throughout the process], his terumah is [valid] terumah.
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