Methods of reduction of measurements in Hilbert spaces
Sbornik. Mathematics, Tome 54 (1986) no. 2, pp. 525-549
Yu. P. Pyt'ev. Methods of reduction of measurements in Hilbert spaces. Sbornik. Mathematics, Tome 54 (1986) no. 2, pp. 525-549. http://geodesic.mathdoc.fr/item/SM_1986_54_2_a12/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The basic facts are given in the theory of random elements and random operators acting in Hilbert spaces. Reduction methods are developed for several models for a measurement scheme, including methods for a model with a random operator. Bibliography: 6 titles.

[1] Pytev Yu. P., “Zadachi reduktsii v eksperimentalnykh issledovaniyakh”, Matem. sb., 120(162) (1983), 240–272 | MR

[2] Pytev Yu. P., “Psevdoobratnyi operator. Svoistva i primeneniya”, Matem. sb., 118(160) (1982), 19–49 | MR | Zbl

[3] Tikhonov A. N., Arsenin V. Ya, Metody resheniya nekorrektnykh zadach, Nauka, M., 1979 | MR

[4] Ivanov V. K., Vasin V. V., Tanana V. P., Teoriya lineinykh nekorrektnykh zadach, Nauka, M., 1978

[5] Skorokhod A. V., Integrirovanie v gilbertovom prostranstve, Nauka, M., 1975

[6] Kato T., Teoriya vozmuschenii lineinykh operatorov, Mir, M., 1972 | MR | Zbl