RT Journal Article
T1 Lineability, spaceability, and algebrability of certain subsets of function spaces.
A1 García-Pacheco, F.J.
A1 Martín, M.
A1 Seoane-Sepúlveda, Juan B.
AB 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.
PB Mathematical Soc Rep China
SN 1027-5487
YR 2009
FD 2009
LK https://hdl.handle.net/20.500.14352/50457
UL https://hdl.handle.net/20.500.14352/50457
LA eng
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NO MEC
NO MEC
DS Docta Complutense
RD 1 may 2024