García-Pacheco, F.J.Palmberg, N.Seoane Sepúlveda, Juan Benigno2023-06-202023-06-2020070022-247X10.1016/j.jmaa.2006.03.025https://hdl.handle.net/20.500.14352/50465We 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.engjournal articlehttp://www.sciencedirect.com/science/article/pii/S0022247X06002745http://www.sciencedirect.comrestricted access517.5AlgebrabilitySpaceabilityHamel basisTaylor expansionLinear functionsR-linear functionsDirichlet functionEverywhere surjective functionsFunciones (Matemáticas)1202 Análisis y Análisis Funcional