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@article{SJIM_2006_9_4_a8,
author = {M. M. Lavrent'ev and L. Ja. Savel'ev and S. V. Balakin},
title = {Matrix operator equations},
journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
pages = {105--124},
publisher = {mathdoc},
volume = {9},
number = {4},
year = {2006},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/SJIM_2006_9_4_a8/}
}
M. M. Lavrent'ev; L. Ja. Savel'ev; S. V. Balakin. Matrix operator equations. Sibirskij žurnal industrialʹnoj matematiki, Tome 9 (2006) no. 4, pp. 105-124. http://geodesic.mathdoc.fr/item/SJIM_2006_9_4_a8/
[1] Burbaki N., Obschaya topologiya, Gl. III–VIII, Nauka, M., 1969 | MR
[2] Savelev L. Ya., Lektsii po matematicheskomu analizu, Vvedenie i chasti 1–4, izd. NGU, Novosibirsk, 1969–1975 | MR
[3] Khalmosh P., Sander V., Ogranichennye integralnye operatory v prostranstvakh $\mathcal{L}^2$, Nauka, M., 1985 | MR | Zbl
[4] Korotkov V. B., Integralnye operatory, Nauka, Novosibirsk, 1983 | MR
[5] Korotkov V. B., Nekotorye voprosy teorii integralnykh operatorov, izd. Instituta matematiki SO AN SSSR, Novosibirsk, 1988 | MR
[6] Korotkov V. B., Metody resheniya integralnykh uravnenii, izd. NGU, Novosibirsk, 1985
[7] Danford N., Shvarts Dzh. T., Lineinye operatory (obschaya teoriya), Izd-vo inostr. lit., M., 1962
[8] Kantorovich L. V., Akilov G. P., Funktsionalnyi analiz, Nauka, M., 1977 | MR | Zbl
[9] Edvards R., Funktsionalnyi analiz, Mir, M., 1969
[10] Kuk R., Beskonechnye matritsy i prostranstva posledovatelnostei, Fizmatgiz, M., 1960 | MR
[11] Kantorovich L. V., Krylov V. I., Priblizhennye metody vysshego analiza, Fizmatgiz, M., 1962 | MR
[12] Stieglitz M., Tietz H., “Matrixtransformationen von Folgenräumen. Eine Ergenbnisubersicht”, Math. Z., 154:1 (1977), 1–16 | DOI | MR | Zbl
[13] Borwein D., Jakimovski A., “Matrix operators on $l^p$”, Rocky Mount. J. Math., 9:3 (1979), 463–477 | MR | Zbl
[14] Zeller K., Beekmann W., Theorie der Limitierungsverfahren, Springer-Verl., Berlin, 1970 | MR
[15] Petersen G. M., Regular Matrix Transformations, McGrau Hill, New York, 1966 | MR | Zbl
[16] Maddox I. J., Elements of Functional Analysis, Univ. Press, Cambridge, 1970 | MR | Zbl
[17] Knopp K., Lorentz G., “Beträge zur absoluten Limitierung”, Arch. Math., 2:1 (1949), 10–16 | DOI | MR
[18] Crone L., “Characterisation of matrix operators on $l^2$”, Math. Z., 123:4 (1971), 315–317 | DOI | MR | Zbl
[19] Lankaster P., Teoriya matrits, Nauka, M., 1978 | MR
[20] Markus M., Mink Kh., Obzor po teorii matrits i matrichnykh neravenstv, Nauka, M., 1972 | MR
[21] Khalmosh P., Gilbertovo prostranstvo v zadachakh, Mir, M., 1970 | MR | Zbl
[22] Kelli Dzh., Obschaya topologiya, Nauka, M., 1968
[23] Sargent W. L. G., “On compact matrix transformations between sectionally boubed BK-spaces”, J. London Math. Soc., 41:161 (1966), 79–87 | DOI | MR | Zbl
[24] Cohen L. W., Dunford N., “Transformations on seqence spaces”, Duke Math. J., 3:3 (1937), 689–701 | DOI | MR | Zbl
[25] Kemeni Dzh., Snell Dzh., Knepp A., Schetnye tsepi Markova, Nauka, M., 1987 | MR
[26] Savelev L. Ya., “Serii v markovskikh posledovatelnostyakh”, Sib. mat. zhurn., 32:4 (1991), 116–132 | MR
[27] Lavrentev M. M., Savelev L. Ya., Teoriya operatorov i nekorrektnye zadachi, Izd-vo Instituta matematiki, Novosibirsk, 1999 | MR
[28] Savelev L. Ya., “Dlinnye serii v markovskikh posledovatelnostyakh”, Tr. In-ta matematiki SO AN SSSR, 5, 1985, 137–144 | MR
[29] Van der Varden B. L., Algebra, Nauka, M., 1976 | MR
[30] Prasolov V. V., Zadachi i teoremy lineinoi algebry, Nauka, M., 1996 | Zbl