On functional equations related to Mielnik’s probability spaces
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- by C. F. Blakemore and C. V. Stanojevic PDF
- Proc. Amer. Math. Soc. 52 (1975), 315-316 Request permission
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 $n > 2$.References
- C. V. Stanojevic, Mielnik’s probability spaces and characterization of inner product spaces, Trans. Amer. Math. Soc. 183 (1973), 441–448. MR 328562, DOI 10.1090/S0002-9947-1973-0328562-1
- Bogdan Mielnik, Geometry of quantum states, Comm. Math. Phys. 9 (1968), 55–80. MR 231603, DOI 10.1007/BF01654032
- Neill McShane, On the periodicity of homeomorphisms of the real line, Amer. Math. Monthly 68 (1961), 562–563. MR 130335, DOI 10.2307/2311152
Additional Information
- © Copyright 1975 American Mathematical Society
- 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