Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date: 7.07.1981
E-mail:
Keywords: Gantmakher-Krein theorem, oscillatory matrices, totally positive operators, tensor products, exterior products, sign-regularity, ideal spaces.

Subject:

Tensor and exterior products of linear operators in Banach spaces. Spectral properties of totally positive and totally indecomposable operators.

Main publications:

1. O. Yu. Kushel, “Nekotorye spektralnye svoistva vpolne nerazlozhimykh operatorov v prostranstvakh funktsii.”, Trudy Instituta matematiki NAN Belarusi, 14:2 (2006), 73–79
2. P. P. Zabreiko, O. Yu. Kushel, “Teorema Gantmakhera-Kreina dlya bineotritsatelnykh operatorov v prostranstvakh funktsii”, Doklady NAN Belarusi, 50:3 (2006), 9–14  
3. O. Yu. Kushel, “Ob odnoi teoreme o suschestvovanii vtorogo polozhitelnogo sobstvennogo znacheniya u nerazlozhimogo operatora”, Spektralnye i evolyutsionnye zadachi, 18 (2008), 93–99
4. 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    
5. 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

Publications in Math-Net.Ru

Talks and lectures

Personal pages:

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Organisations:

• Belarusian State University, Minsk