Geodesic
On partially measure compact unbounded linear operators on $L_2$
Vladikavkazskij matematičeskij žurnal, Tome 18 (2016) no. 1, pp. 36-41 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper we introduce partially measure compact unbounded linear operators. We find characteristic property of limit spectrums of the adjoints of unbounded densely defined partially measure compact linear operators on $L_2(\mu)$. Some applications of this result to linear functional equations of the first and second kind with partially measure compact unbounded operators are given. 
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V. B. Korotkov. On partially measure compact unbounded linear operators on $L_2$. Vladikavkazskij matematičeskij žurnal, Tome 18 (2016) no. 1, pp. 36-41. http://geodesic.mathdoc.fr/item/VMJ_2016_18_1_a4/

[1] Kato T., Teoriya vozmuschenii lineinykh operatorov, Mir, M., 1972, 740 pp. | MR

[2] Krasnoselskii M. A., Zabreiko P. P., Pustylnik E. I., Sobolevskii P. E., Integralnye operatory v prostranstvakh summiruemykh funktsii, Nauka, M., 1966, 500 pp. | MR

[3] Aronszajn N., Szeptycki P., “On General Integral Transformations”, Math. Ann., 163:2 (1966), 127–154 | DOI | MR | Zbl

[4] Korotkov V. B., Integralnye operatory, Nauka, Novosibirsk, 1983, 224 pp. | MR

[5] Korotkov V. B., “O privedenii semeistv operatorov k integralnomu vidu”, Sib. mat. zhurn., 47:5 (2006), 1092–1098 | MR | Zbl

[6] Korotkov V. B., Stepanov V. D., “Kriterii porozhdaemosti integralnykh operatorov izmerimymi funktsiyami”, Sib. mat. zhurn., 23:2 (1982), 199–203 | MR | Zbl

[7] Korotkov V. B., Nekotorye voprosy teorii integralnykh operatorov, Sib. otd-nie AN SSSR. In-t mat-ki, 1988, 148 pp. | MR

[8] Verlan A. F., Sizikov V. S., Integralnye uravneniya: metody, algoritmy, programmy, Spravochnoe posobie, Naukova dumka, Kiev, 1986, 544 pp. | MR