Some Remarks on the Algebraic Sum of Ideals and Riesz Subspaces

Autor:	Witold Wnuk
Rok vydání:	2013
Předmět:	Mathematics::Functional Analysis Pure mathematics General Mathematics 010102 general mathematics 010103 numerical & computational mathematics 0101 mathematics Algebraic number 01 natural sciences Linear subspace Mathematics
Zdroj:	Canadian Mathematical Bulletin. 56:434-441
ISSN:	1496-4287 0008-4395
DOI:	10.4153/cmb-2011-151-0
Popis:	Following ideas used by Drewnowski and Wilansky we prove that if I is an infinite dimensional and infinite codimensional closed ideal in a complete metrizable locally solid Riesz space and I does not contain any order copy of ℝN then there exists a closed, separable, discrete Riesz subspace G such that the topology induced on G is Lebesgue, I ∩ G = {0}, and I + G is not closed.
Databáze:	OpenAIRE
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