%0 Journal Article %A García-Pacheco, F.J. %A Martín Conde, María %A Seoane Sepúlveda, Juan Benigno %T Lineability, spaceability, and algebrability of certain subsets of function spaces. %D 2009 %@ 1027-5487 %U https://hdl.handle.net/20.500.14352/50457 %X We construct infinite-dimensional Banach spaces and infinitely generated Banach algebras of functions that, except for 0, satisfy some kind of special or pathological property. Three of these structures are: a Banach algebra of everywhere continuous bounded functions which are not Riemann-integrable; a Banach space of Lebesgue-integrable functions that are not Riemann-integrable; an algebra of continuous unbounded functions defined on an arbitrary non-compact metric space. %~