Article ID Journal Published Year Pages File Type
6416642 Linear Algebra and its Applications 2013 8 Pages PDF
Abstract

Gámez-Merino, Munoz-Fernández and Seoane-Sepúlveda proved that if additivity A(F)>c, then F is A(F)-lineable where F⊆RR. They asked if A(F)>c can be weakened. We answer this question in negative. Moreover, we introduce and study the notions of homogeneous lineability number and lineability number of subsets of linear spaces.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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