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García-Pacheco, F.J. and Palmberg, N. and Seoane-Sepúlveda, Juan B. (2007) Lineability and algebrability of pathological phenomena in analysis. Journal of Mathematical Analysis and Applications, 326 (2). pp. 929-939. ISSN 0022-247X
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Official URL: http://www.sciencedirect.com/science/article/pii/S0022247X06002745
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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Algebrability; Spaceability; Hamel basis; Taylor expansion; Linear functions; R-linear functions; Dirichlet function; Everywhere surjective functions |
| Subjects: | Sciences > Mathematics > Functions |
| ID Code: | 20079 |
| Deposited On: | 22 Feb 2013 14:28 |
| Last Modified: | 25 Nov 2016 12:43 |
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