journal article Nov 01, 1999

Pseudocharacters of a free group which are invariant under the group of substitution automorphisms

View at Publisher Save 10.1007/bf02677543
Topics

No keywords indexed for this article. Browse by subject →

References
21
[1]
S. M. Ulam, A Collection of Mathematical Problems, Wiley & Sons, Interscience Publ, New York and London (1960).
[2]
On the Stability of the Linear Functional Equation

D. H. Hyers

Proceedings of the National Academy of Sciences 1941 10.1073/pnas.27.4.222
[3]
D. H. Hyers and S. M. Ulam, “On approximate isometry,” Bull. Amer. Math. Soc.,51, 228–292 (1945). 10.1090/s0002-9904-1945-08327-x
[4]
D. H. Hyers and S. M. Ulam, “Approximate isometry on the space of continuous functions,” Ann. of Math.,48, No. 2, 285–289 (1947). 10.2307/1969171
[5]
J. Baker, L. Lawrence, and F. Zorzitto, “The stability of the equationf(x+y)=f(x)f(y),” Proc. Amer. Math. Soc.,74, No. 2, 242–246 (1979). 10.2307/2043141
[6]
J. Baker, “The stability of the cosine equation,” Proc. Amer. Math. Soc.,80, No. 3, 411–416 (1980). 10.2307/2043730
[7]
K. Grove, H. Karcher, and E. A. Roh, “Jacobi fields and Finsler metrics on a compact Lie groups with an application to differential pinching problems,” Math. Ann.,211, No. 1, 7–21 (1974). 10.1007/bf01344138
[8]
P. de la Harpe and M. Karoubi, “Represéntations approchées d’un groupe dans une algébre de Banach,” Manuscripta Math.,22, No. 3, 297–310 (1977). 10.1007/bf01172669
[9]
D. Kazhdan, “On ε-representations,” Israel J. Math.,43, No. 4, 315–323 (1982). 10.1007/bf02761236
[10]
A. I. Shtern, “The pseudocharacter determined by the Rademacher symbol,” Uspekhi Mat. Nauk,45, No. 3, 224–226 (1990).
[11]
A. I. Shtern, “Quasirepresentations and pseudorepresentations,” Funktsional. Anal. i Prilozhen.,25, No. 1, 70–73 (1991).
[12]
V. A. Faîziev, “Pseudocharacters on direct products of semigroups,” Funktsional. Anal. i Prilozhen.,21, No. 1, 86–87 (1987). 10.1007/bf01077996
[13]
V. A. Faîziev, “Pseudocharacters on free groups and some group constructions,” Uspekhi Mat. Nauk,43, No. 5, S. 225–226 (1988).
[14]
V. A. Faîziev, “On spaces of pseudocharacters on direct products of semigroups,” Mat. Zametki,52, No. 6, 119–130 (1992).
[15]
V. A. Faîziev, “Pseudocharacters on the groupSL(2,Z),” Funktsional. Anal. i Prilozhen.,28, No. 4, 77–79 (1992).
[16]
V. A. Faîziev, “Pseudocharacters on subdirect products of semigroups,” Mat. Zametki,53, No. 2, 132–139 (1993).
[17]
V. A. Faîziev, “On stability of a functional equation on groups,” Uspekhi Mat. Nauk,48, No. 1, 193–194 (1993).
[18]
V. A. Faîziev, “Pseudocharacters on a free semigroup,” Izv. Akad. Nauk Ser. Mat.,58, No. 1, 121–143 (1994).
[19]
V. A. Faîziev, “Pseudocharacters on free semigroups,” Russian J. Math. Phys.,3, No. 2, 191–206 (1995).
[20]
V. A. Faîziev, “On almost representations of groups,” Proc. Amer. Math. Soc.,127, No. 1, 57–61. (1999). 10.1090/s0002-9939-99-04539-6
[21]
V. A. Faîziev, “On a theorem of de la Harpe and Karoubi,” Uspekhi Mat. Nauk,48, No. 2, 203–204 (1993).
Metrics
0
Citations
21
References
Details
Published
Nov 01, 1999
Vol/Issue
40(6)
Pages
1188-1198
License
View
Cite This Article
V. A. Faĭziev (1999). Pseudocharacters of a free group which are invariant under the group of substitution automorphisms. Siberian Mathematical Journal, 40(6), 1188-1198. https://doi.org/10.1007/bf02677543