Geodesic
Approximations by isometries and V. I. Matsaev's hypothesis for absolute contractions of the space $L^p$
Funkcionalʹnyj analiz i ego priloženiâ, Tome 12 (1978) no. 1, pp. 38-50 
V. V. Peller. Approximations by isometries and V. I. Matsaev's hypothesis for absolute contractions of the space $L^p$. Funkcionalʹnyj analiz i ego priloženiâ, Tome 12 (1978) no. 1, pp. 38-50. http://geodesic.mathdoc.fr/item/FAA_1978_12_1_a3/
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[1] Fon Neiman Dzh., “Spektralnaya teoriya obschikh operatorov v unitarnom prostranstve”, Matematika, 4:1 (1960), 101–124

[2] Sekefalvi-Nad B., Foiash Ch., Garmonicheskii analiz operatorov v gilbertovom prostranstve, Mir, M., 1970 | MR

[3] Nelson E., “The distinguished boundary of the unit operator ball”, Proc. Amer. Math. Soc., 12:6 (1961), 994–995 | DOI | MR | Zbl

[4] Peller V.V., “Otsenki operatornykh polinomov v prostranstve $L^p$ cherez multiplikatornuyu normu”, Zapiski nauchn. semin. LOMI, 65, 1976, 133–148 | MR | Zbl

[5] Foiash Ch., “O nekotorykh teoremakh Dzh. fon Neimana, kasayuschikhsya spektralnykh mnozhestv”, Matematika, 4:1 (1960), 125–129

[6] Katsnelson V.E., Matsaev V.I., “O spektralnykh mnozhestvakh operatorov v banakhovom prostranstve i otsenkakh funktsii ot konechnomernykh operatorov”, Teoriya funkts., funkts. anal. i ikh pril., Resp. nauchn. sb., vyp. 3, 1966, 3–10

[7] Nikolskii N.K., “Pyat zadach ob invariantnykh podprostranstvakh”, Zapiski nauchn. semin. LOMI, 23, 1971, 115–127 | MR

[8] Peller V.V., “Analog neravenstva Dzh. fon Neimana dlya prostranstva $L^p$”, DAN SSSR, 231:3 (1977), 539–542 | MR

[9] Banakh S., Kurs funktsionalnogo analizy, Radyanska shkola, Kiiv, 1948

[10] Lamperti T., “On isometries on certain function spaces”, Pacific. J. Math., 8:3 (1958), 459–466 | DOI | MR | Zbl

[11] Arcoglu M.A., “A pointwise ergodic theorem in $L^p$-spaces”, Canad. J. Math., 27:5 (1975), 1075–1082 | DOI | MR

[12] Kim C.W., “Approximation of positive contractions on $L^\infty$. II”, Math. Ann., 217:3 (1975), 211–220 | DOI | MR | Zbl