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 |
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Wiley
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202012371 |
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| _version_ | 1850159729922277376 |
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| author | Gogi Pantsulaia |
| author_facet | Gogi Pantsulaia |
| author_sort | Gogi Pantsulaia |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-b3987977b88449c4b5babe7cef8ffa20 |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-b3987977b88449c4b5babe7cef8ffa202025-08-20T02:23:26ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-0130635336310.1155/S0161171202012371Duality of Measure and Category in Infinite-Dimensional Separable Hilbert Space ℓ2Gogi Pantsulaia0Department of Higher Mathematics, Georgian Technical University, 77 Kostava Street, Tbilisi 380043, GeorgiaWe 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.http://dx.doi.org/10.1155/S0161171202012371 |
| spellingShingle | Gogi Pantsulaia Duality of Measure and Category in Infinite-Dimensional Separable Hilbert Space ℓ2 International Journal of Mathematics and Mathematical Sciences |
| title | Duality of Measure and Category in Infinite-Dimensional Separable
Hilbert Space ℓ2 |
| title_full | Duality of Measure and Category in Infinite-Dimensional Separable
Hilbert Space ℓ2 |
| title_fullStr | Duality of Measure and Category in Infinite-Dimensional Separable
Hilbert Space ℓ2 |
| title_full_unstemmed | Duality of Measure and Category in Infinite-Dimensional Separable
Hilbert Space ℓ2 |
| title_short | Duality of Measure and Category in Infinite-Dimensional Separable
Hilbert Space ℓ2 |
| title_sort | duality of measure and category in infinite dimensional separable hilbert space l2 |
| url | http://dx.doi.org/10.1155/S0161171202012371 |
| work_keys_str_mv | AT gogipantsulaia dualityofmeasureandcategoryininfinitedimensionalseparablehilbertspacel2 |