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@article{FAA_1981_15_1_a1, author = {V. F. Gaposhkin}, title = {Individual ergodic theorem for normal operators in $L_2$}, journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a}, pages = {18--22}, publisher = {mathdoc}, volume = {15}, number = {1}, year = {1981}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/FAA_1981_15_1_a1/} }
V. F. Gaposhkin. Individual ergodic theorem for normal operators in $L_2$. Funkcionalʹnyj analiz i ego priloženiâ, Tome 15 (1981) no. 1, pp. 18-22. http://geodesic.mathdoc.fr/item/FAA_1981_15_1_a1/
[1] Danford N., Shvarts Dzh., Lineinye operatory, t. I, Mir, M., 1962; т. II, 1966
[2] Blanc-Lapierre A., Tortrat A., “Sur la loi forté des grands nombres”, C.r. Acad. Sci., Paris A, 267, 1968, 740–743 | MR | Zbl
[3] Burkholder D., “Semi-gaussian subspaces”, Trans. Amer. Math. Soc., 104, no. 1, 1962, 123–161 | DOI | MR
[4] Gaposhkin V.F., “Kriterii usilennogo zakona bolshikh chisel dlya klassov statsionarnykh protsessov i odnorodnykh sluchainykh polei”, Teoriya veroyatn., 22:2 (1977), 295–319 | MR | Zbl
[5] Gaposhkin V.F., “Odna teorema o skhodimosti pochti vsyudu posledovatelnosti izmerimykh funktsii i ee primeneniya k posledovatelnostyam stokhasticheskikh integralov”, Matem. sb., 104 (1977), 3–21 | Zbl
[6] Duncan R., “Pointwise convergence theorems for self-adjoint and unitary contractions”, Ann. Probab., 5:4 (1977), 622–626 | DOI | MR | Zbl
[7] Burkholder D., Chen Y., “Iterates of conditional expectation operators”, Proc. Amer. Math. Soc., 12:3 (1961), 490–495 | DOI | MR | Zbl
[8] Khille E., Fillips P., Funktsionalnyi analiz i polugruppy, IL, M., 1966 | MR
[9] Gaposhkin V.F., “Lokalnaya ergodicheskaya teorema dlya grupp unitarnykh operatorov i statsionarnykh protsessov vtorogo poryadka”, Matem. sb., 111 (1980), 249–265 | MR | Zbl