Are there positions that say that one should say "Baruch Atah Hashem Elokeinu Melech HaOlam Hamavdil bein kodesh l’chol," if one is going to do melachah after Shabbat before Havdallah. Or does everyone agree that it is without Shem U’Malchut?

The Tur, in Orach Chaim 299, brings the opinion of Rabbeinu Asher and the Ba'al Halachot Gedolot that before doing melacha one should say "Hamavdil" with "Shem v'Malchut", that is, in a normative bracha format. Rashi, however, says that only the words "Baruch HaMavdil bein kodesh l'chol" must be said and this is the position adopted by the Shulchan Aruch. This is the common practice.