Voir la notice de l'article provenant de la source Math-Net.Ru
@article{AA_2003_15_3_a0, author = {M. M. Malamud and S. M. Malamud}, title = {Spectral theory of operator measures in {Hilbert} space}, journal = {Algebra i analiz}, pages = {1--77}, publisher = {mathdoc}, volume = {15}, number = {3}, year = {2003}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/AA_2003_15_3_a0/} }
M. M. Malamud; S. M. Malamud. Spectral theory of operator measures in Hilbert space. Algebra i analiz, Tome 15 (2003) no. 3, pp. 1-77. http://geodesic.mathdoc.fr/item/AA_2003_15_3_a0/
[1] Akhiezer N. I., Glazman I. M., Teoriya lineinykh operatorov v gilbertovom prostranstve, Nauka, M., 1966 | MR | Zbl
[2] Berezanskii Yu. M., “O razlozhenii po sobstvennym funktsiyam obschikh samosopryazhennykh i differentsialnykh operatorov”, Dokl. AN SSSR, 108:3 (1956), 379–382 | MR | Zbl
[3] Berezanskii Yu. M., Razlozheniya po sobstvennym funktsiyam samosopryazhennykh operatorov, Nauk. dumka, Kiev, 1965 | MR
[4] Berezanskii Yu. M., Us G. F., Sheftel Z. G., Funktsionalnyi analiz, Vyscha shk., Kiev, 1990 | Zbl
[5] Berger C. A., “A strange dilation theorem”, Notices Amer. Math. Soc., 12:5 (1965), 590, Abstract 625–152
[6] Birman M. Sh., Solomyak M. Z., Spektralnaya teoriya samosopryazhennykh operatorov v gilbertovom prostranstve, LGU, L., 1980 | MR
[7] Birman M. Sh., Entina S. B., “Statsionarnyi podkhod v abstraktnoi teorii rasseyaniya”, Izv. AN SSSR. Ser. mat., 31:2 (1967), 401–430 | MR | Zbl
[8] Brodskii M. S., Treugolnye i zhordanovy predstavleniya lineinykh operatorov, Nauka, M., 1969 | MR
[9] Vasyunin V. I., Nikolskii N. K., “Upravlyayuschie podprostranstva minimalnoi razmernosti. Elementarnoe vvedenie, Issledovaniya po lineinym operatoram i teorii funktsii. 11”, Zap. nauch. semin. LOMI, 113, 1981, 41–75 | MR
[10] Vasyunin V. I., Nikolskii N. K., “Kvaziortogonalnye razlozheniya po dopolnitelnym metrikam i otsenki odnolistnykh funktsii”, Algebra i analiz, 2:4 (1990), 1–81 | MR | Zbl
[11] Garnett Dzh., Ogranichennye analiticheskie funktsii, Mir, M., 1984 | MR | Zbl
[12] Gelfand I. M., Vilenkin I. Ya., Obobschennye funktsii. Vyp. 4. Nekotorye primeneniya garmonicheskogo analiza. Osnaschennye gilbertovy prostranstva, Fizmatgiz, M., 1961 | MR
[13] Gelfand I. M., Kostyuchenko A. G., “Razlozhenie po sobstvennym funktsiyam differentsialnykh i drugikh operatorov”, Dokl. AN SSSR, 103:3 (1955), 349–352
[14] Gelfand I. M., Shilov G. E., Obobschennye funktsii. Vyp. 3. Nekotorye voprosy teorii differentsialnykh uravnenii, Fizmatgiz, M., 1958 | MR
[15] Gesztesy F., Kalton N., Makarov K., Tsekanovskii E., “Some applications of operator-valued Herglotz functions”, Operator Theory, System Theory and Related Topics (Beer-Sheva/Rehovot, 1997), Oper. Theory Adv. Appl., 123, Birkhäuser, Basel, 2001, 271–321 | MR | Zbl
[16] Gorbachuk V. I., Gorbachuk M. L., Granichnye zadachi dlya differentsialno-operatornykh uravnenii, Nauk. dumka, Kiev, 1984 | MR | Zbl
[17] Danford N., Shvarts Dzh. T., Lineinye operatory. T. 2. Spektralnaya teoriya. Samosopryazhennye operatory v gilbertovom prostranstve, Mir, M., 1966
[18] Derkach V. A., Malamud M. M., “Rasshirenie teorii ermitovykh operatorov i problema momentov”, Analiz – 3, Itogi nauki i tekhn. Ser. Sovrem. mat. i ee pril., 5, VINITI, M., 1993; J. Math. Sci., 73:2 (1995), 141–242 | DOI | MR | Zbl
[19] Kato T., Teoriya vozmuschenii lineinykh operatorov, Mir, M., 1972 | MR | Zbl
[20] Kats I. S., “O gilbertovykh prostranstvakh, porozhdennykh monotonnymi ermitovymi matritsami-funktsiyami”, Uchen. zap. Kharkov. gos. un-ta, 34 (1950), 95–113
[21] Kirillov A. A., Elementy teorii predstavlenii, Nauka, M., 1972 | MR
[22] Krein M. G., “Ob Ermitovykh operatorakh s napravlyayuschimi funktsionalami”, Sb. tr. In-ta mat. AN USSR, 10, 1948, 83–106 | MR
[23] Malamud M. M., Malamud S. M., “O spektralnoi teorii operatornykh mer”, Funkts. anal. i ego pril., 36:2 (2002), 83–89 | MR | Zbl
[24] Malamud S. M., Oridoroga L. L., “On the principal vector of an operator measure”, Spectral and Evolution Problems, Vol. 2 (Sevastopol, 2000), Nats. Taurida Univ., Simferopol, 2001, 124–127 | MR
[25] Naimark M. A., “Spektralnye funktsii simmetricheskogo operatora”, Izv. AN SSSR. Ser. mat., 4:3 (1940), 277–318 | Zbl
[26] Nikolskii N. K., Lektsii ob operatore sdviga, Nauka, M., 1980 | MR
[27] Plesner A. I., Spektralnaya teoriya lineinykh operatorov, Nauka, M., 1965 | MR | Zbl
[28] Rid M., Saimon B., Metody sovremennoi matematicheskoi fiziki. 4. Analiz operatorov, Mir, M., 1982 | MR
[29] Sekefalvi-Nad B., Foyash Ch., Garmonicheskii analiz operatorov v gilbertovom prostranstve, Mir, M., 1970 | MR
[30] Sz.-Nagy B., Foiaş C., “On certain classes of power-bounded operators in Hubert space”, Acta Sci. Math. (Szeged), 27 (1966), 17–25 | MR
[31] Skorokhod A. V., Integrirovanie v gilbertovom prostranstve, Nauka, M., 1975
[32] Kholevo A. S., Veroyatnostnye i statisticheskie aspekty kvantovoi teorii, Nauka, M., 1980 | MR | Zbl
[33] Yakubovich D. V., “Lokalnaya spektralnaya kratnost lineinogo operatora otnositelno mery”, Issledovaniya po lineinym operatoram i teorii funktsii. 23, Zap. nauch. semin. POMI, 222, 1995, 293–306