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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 30 (2002), Issue 6, Pages 353-363
doi:10.1155/S0161171202012371

Duality of measure and category in infinite-dimensional separable Hilbert space ℓ2

Gogi Pantsulaia

Department of Higher Mathematics, Georgian Technical University, 77 Kostava Street, Tbilisi 380043, Georgia

Abstract

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.