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.

Bibliographic Details
Main Author: Gogi Pantsulaia
Format: Article
Language:English
Published: Hindawi Limited 2002-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171202012371