This quote is from Comprehensive Organic Name Reactions and Reagents by Zerong Wang.
The oxidation of adjacent diols with periodic acid or its salt in aqueous solution is generally known as the Malaprade reaction. Several solvents have been used to increase the solubility of organic substrates and the reaction proceeds faster under acidic conditions. This reaction has been further extended to the cleavage of α‐hydroxy carbonyl compounds, 1,2‐dicarbonyl compounds, α‐amino alcohols, α‐amino acids, and polyhydroxy alcohols. .
The mechanism of Malaprade reaction reaction is as follows:
As per the requirements of mechanism , the three membred ether should be converted to a adjacent diols (viscinal) diol for it to be oxidised by periodic acid.
The epoxide in acidic hydrolysis undergos ring opening to give 1,2 diol .This would undergo oxidation with periodic acid.