Amenable $L_1(G)$-modules that average functions and spaces with a~mixed norm
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (1998), pp. 54-59.

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

@article{IVM_1998_2_a8,
     author = {A. G. Myasnikov},
     title = {Amenable $L_1(G)$-modules that average functions and spaces with a~mixed norm},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {54--59},
     publisher = {mathdoc},
     number = {2},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_1998_2_a8/}
}
TY  - JOUR
AU  - A. G. Myasnikov
TI  - Amenable $L_1(G)$-modules that average functions and spaces with a~mixed norm
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 1998
SP  - 54
EP  - 59
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_1998_2_a8/
LA  - ru
ID  - IVM_1998_2_a8
ER  - 
%0 Journal Article
%A A. G. Myasnikov
%T Amenable $L_1(G)$-modules that average functions and spaces with a~mixed norm
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 1998
%P 54-59
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_1998_2_a8/
%G ru
%F IVM_1998_2_a8
A. G. Myasnikov. Amenable $L_1(G)$-modules that average functions and spaces with a~mixed norm. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (1998), pp. 54-59. http://geodesic.mathdoc.fr/item/IVM_1998_2_a8/

[1] Myasnikov A. G., “Amenabelnye banakhovy $L_1(G)$-moduli, invariantnye srednie i regulyarnost v smysle Arensa”, Izv. vuzov. Matematika, 1993, no. 2, 72–80 | MR | Zbl

[2] Rosenblatt J., Yang Z., “Functions with a unique mean value”, Math. J. Illinois, 34:4 (1990), 744–764 | MR | Zbl

[3] Miao T., “Amenability of locally compact groups and subspaces of $L^\infty(G)$”, Proc. Amer. Math. Soc., 111:4 (1991), 1075–1084 | DOI | MR | Zbl

[4] Miao T., “The existence of left averaging functions that are not right averaging”, Proc. Amer. Math. Soc., 115:1 (1992), 121–123 | DOI | MR | Zbl

[5] Emerson W. R., “Characterizations of amenable groups”, Trans. Amer. Math. Soc., 241 (1978), 183–194 | DOI | MR | Zbl

[6] Pier J.-P., Amenable locally compact groups, Wiley, New York, 1984, 418 pp. | MR

[7] Paterson A. L. T., Amenability, AMS, Providence, R. I., 1988, 452 pp. | MR

[8] Ulger A., “Continuity of weakly almost periodic functionals on $L^1(G)$”, Quart J. Math., 37:148 (1986), 495–497 | DOI | MR

[9] Myasnikov A. G., “Ob absolyutnoi nepreryvnosti norm v banakhovykh idealnykh prostranstvakh so sdvigami”, Izv. vuzov. Matematika, 1990, no. 3, 78–80 | MR | Zbl

[10] Myasnikov A. G., Chernykh S. I., “O prostranstvakh $L_P$ so smeshannoi normoi na lokalno kompaktnykh gruppakh”, Funkts. analiz i ego prilozh., 19:3 (1985), 73–74 | MR | Zbl

[11] Myasnikov A. G., O smeshannykh normakh i absolyutno nepreryvnykh normakh, Dep. v VINITI 02.06.88, No 4830-B88, 1988, 24 pp.