Ay, SerdarGheondea, Aurelian2021-03-052021-03-0520200024-3795http://hdl.handle.net/11693/75825We correct a lemma by adding the assumption that the ordered ⁎-space is Archimedean and show by counter-examples and examples that this is needed.EnglishOrdered ⁎-spaceTopologically ordered ⁎-spaceArchimedean ordered ⁎-spaceGramianVE-spaceCorrigendum to “representations of ⁎-semigroups associated to invariant kernels with values adjointable operators” [Linear Algebra Appl. 486 (2015) 361–388]Erratum10.1016/j.laa.2020.01.009