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Approximate isometries
Author:
D. G. Bourgin
Journal:
Bull. Amer. Math. Soc. 52 (1946), 704-714
MathSciNet review:
0017465
Full-text PDF
References |
Additional Information
- 1.
D.
H. Hyers and S.
M. Ulam, On approximate isometries, Bull. Amer. Math. Soc. 51 (1945), 288–292. MR 0013219
(7,123f), http://dx.doi.org/10.1090/S0002-9904-1945-08337-2
- 2.
S. Banach, Théorie des opérations linéaires, 1932.
- 3.
James
A. Clarkson, Uniformly convex spaces, Trans. Amer. Math. Soc. 40 (1936), no. 3, 396–414. MR
1501880, http://dx.doi.org/10.1090/S0002-9947-1936-1501880-4
- 4.
R.
P. Boas Jr., Some uniformly convex spaces,
Bull. Amer. Math. Soc. 46 (1940), 304–311. MR 0001456
(1,242a), http://dx.doi.org/10.1090/S0002-9904-1940-07207-6
- 5.
L.
Alaoglu and G.
Birkhoff, General ergodic theorems, Ann. of Math. (2)
41 (1940), 293–309. MR 0002026
(1,339a)
- 6.
D.
H. Hyers, On the stability of the linear functional equation,
Proc. Nat. Acad. Sci. U. S. A. 27 (1941), 222–224.
MR
0004076 (2,315a)
- 1.
- D. H. Hyers and S. M. Ulam, On approximate isometries, Bull. Amer. Math. Soc. vol. 51 (1945) pp. 288-292. MR 13219
- 2.
- S. Banach, Théorie des opérations linéaires, 1932.
- 3.
- J. A. Clarkson, Uniformly convex spaces, Trans. Amer. Math. Soc. vol. 40 (1936) pp. 396-414. MR 1501880
- 4.
- R. P. Boas, Some uniformly convex spaces, Bull. Amer. Math. Soc. vol. 46 (1940) pp. 304-311. MR 1456
- 5.
- L. Alaoglu and G. Birkhoff, General ergodic theorems, Ann. of Math. vol. 41 (1940) pp. 293-309. MR 2026
- 6.
- D. H. Hyers, On the stability of the linear functional equation, Proc. Nat. Acad. Sci. U.S.A. vol. 27 (1941) pp. 222-224. MR 4076
Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9904-1946-08638-3
PII:
S 0002-9904(1946)08638-3
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