Title of article
Lineability and algebrability of pathological phenomena in analysis
Author/Authors
F.J. Garc?a-Pacheco، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2007
Pages
11
From page
929
To page
939
Abstract
We show that, in analysis, many pathological phenomena occur more often than one could expect, that
is, in a linear or algebraic way. We show this by means of the construction of large algebraic structures
(infinite dimensional vector spaces or infinitely generated algebras) enjoying some special or pathological
properties.
© 2006 Elsevier Inc. All rights reserved.
Keywords
Algebrability , Spaceability , Hamel basis , Taylor expansion , R-linear functions , Dirichlet function , Everywhere surjective functions , Linear functions , Lineability
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2007
Journal title
Journal of Mathematical Analysis and Applications
Record number
935266
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