Duality of Measure and Category in Infinite-Dimensional Separable Hilbert Space ℓ2
We prove that an analogy of the Oxtoby duality principle is not valid for the concrete nontrivial σ-finite Borel invariant measure and the Baire category in the classical Hilbert space ℓ2.
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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2002-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
Online Access: | http://dx.doi.org/10.1155/S0161171202012371 |