The reasons which, taken collectively, prove conclusively at least to me, that Ivalde's sons and Olvalde's are identical are the following:
(1) In regard to the names themselves, we note in the first place that, as has already been pointed out, the name of the father of Ide, as Aurnir-Gang, and of Thjasse appears with the variations _Allvaldi_, _Ölvaldi_, and _Audvaldi_. To persons speaking a language in which the prefixes _I-_, _Id-_, and _All-_ are equivalents and are substituted for one another, and accustomed to poetics, in which it was the most common thing to substitute equivalent nouns and names (for example, _Grjótbjörn_ for _Arinbjörn_, _Fjallgyldir_ for _Ásólfr_, &c.), it was impossible to see in _Ivaldi_ and _Allvaldi_ anything but names designating the same person.
(2) Anent the variation Olvalde we have already seen that its equivalents Olmodr and Sumbl (Finnakonungr, _phinnorum rex_) allude to Slagfin's, Orvandel-Egil's, and Volund's father, while Olvalde himself is said to be the father of Ide, Aurnir, and Thjasse.
(3) Ajo's and Ibor's mother is called _Gambara_ in _Origo Longobardorum_ and in Paulus Diaconus. Aggo's and Ebbo's mother is called _Gambaruc_ in Saxo. In Ibor-Ebbo and Ajo-Aggo we have re-discovered Egil and Volund. The Teutonic stem of which the Latinised Gambara was formed is in all probability _gambr_, _gammr_, a synonym of _gripr_ (Younger Edda, ii. 572), the German _Greif_. According to the Younger Edda (i. 314), Thjasse's mother is the giantess _Greip_, daughter of _Geirrödr_. The forms _grip_, neuter, and _greip_, feminine, are synonyms in the Old Norse language, and they surely grew out of the same root. While Gambara thus is Volund's mother, Thjasse's mother bears a name to which Gambara alludes.
(4) The variation _Audvaldi_ means "the one presiding over riches," and the epithet finds its explanation in the Younger Edda's account of the gold treasure left by Thjasse's father, and of its division among his sons (p. 214.) It is there stated that Thjasse's father was _mjök gullaudigr_. Ivalde's sons, who gave the gods golden treasures, were likewise rich in gold, and in Volundarkvida Volund speaks of his and his kinsmen's golden wealth in their common home.