Individual ergodic theorem for normal operators in $L_2$
Funkcionalʹnyj analiz i ego priloženiâ, Tome 15 (1981) no. 1, pp. 18-22.

Voir la notice de l'article provenant de la source Math-Net.Ru

@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/}
}
TY  - JOUR
AU  - V. F. Gaposhkin
TI  - Individual ergodic theorem for normal operators in $L_2$
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 1981
SP  - 18
EP  - 22
VL  - 15
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_1981_15_1_a1/
LA  - ru
ID  - FAA_1981_15_1_a1
ER  - 
%0 Journal Article
%A V. F. Gaposhkin
%T Individual ergodic theorem for normal operators in $L_2$
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 1981
%P 18-22
%V 15
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_1981_15_1_a1/
%G ru
%F 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