Tensor and exterior products of linear operators in Banach spaces.
Spectral properties of totally positive and totally indecomposable operators.
Main publications:
O. Yu. Kushel, “Nekotorye spektralnye svoistva vpolne nerazlozhimykh
operatorov v prostranstvakh funktsii.”, Trudy Instituta matematiki NAN Belarusi, 14:2 (2006), 73–79
P. P. Zabreiko, O. Yu. Kushel, “Teorema Gantmakhera-Kreina dlya bineotritsatelnykh operatorov v prostranstvakh funktsii”, Doklady NAN Belarusi, 50:3 (2006), 9–14
O. Yu. Kushel, “Ob odnoi teoreme o suschestvovanii vtorogo
polozhitelnogo sobstvennogo znacheniya u nerazlozhimogo operatora”, Spektralnye i evolyutsionnye zadachi, 18 (2008), 93–99
O. Y. Kushel, P. P. Zabreiko, “Gantmakher-Krein theorem for by-non-negative operators in spaces of functions”, Abstract and Applied Analysis, 2006, 1–15, Article ID 48132
O. Yu. Kushel, “Teorema Gantmakhera-Kreina dlya 2-vpolne nerazlozhimykh operatorov v idealnykh prostranstvakh”, Trudy XII
mezhdunarodnoi konferentsii po differentsialnym uravneniyam
«Eruginskie chteniya-2007» (Minsk, 16–19 maya 2007 g.), Institut matematiki NAN Belarusi, 2007, 100–106