On functional equations related to Mielnik’s probability spaces
Authors:
C. F. Blakemore and C. V. Stanojevic
Journal:
Proc. Amer. Math. Soc. 52 (1975), 315-316
MSC:
Primary 39A25
DOI:
https://doi.org/10.1090/S0002-9939-1975-0390574-7
MathSciNet review:
0390574
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: It is shown that the method used by C. V. Stanojevic to obtain a characterization of inner product spaces in terms of a Mielnik probability space of dimension $2$ does not admit a generalization to dimension $n > 2$.
- C. V. Stanojevic, Mielnik’s probability spaces and characterization of inner product spaces, Trans. Amer. Math. Soc. 183 (1973), 441–448. MR 328562, DOI https://doi.org/10.1090/S0002-9947-1973-0328562-1
- Bogdan Mielnik, Geometry of quantum states, Comm. Math. Phys. 9 (1968), 55–80. MR 231603
- Neill McShane, On the periodicity of homeomorphisms of the real line, Amer. Math. Monthly 68 (1961), 562–563. MR 130335, DOI https://doi.org/10.2307/2311152
Retrieve articles in Proceedings of the American Mathematical Society with MSC: 39A25
Retrieve articles in all journals with MSC: 39A25
Additional Information
Keywords:
Functional equations,
Mielnik probability spaces
Article copyright:
© Copyright 1975
American Mathematical Society
