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math.FA2012★ 1 cited
Large structures made of nowhere functions
Szymon Glab, Pedro L. Kaufmann, Leonardo Pellegrini
We say that a real-valued function defined on a positive Borel measure space is nowhere -integrable if, for each nonvoid open subset of , the restriction $f|_…
math.FA2012
Spaceability and algebrability of sets of nowhere integrable functions
Szymon Glab, Pedro L. Kaufmann, Leonardo Pellegrini
We show that the set of Lebesgue integrable functions in which are nowhere essentially bounded is spaceable, improving a result from [F. J. García-Pacheco, M. Martín, and J…
math.FA2012
Spaceability in sets of operators on
Rogério Fajardo, Pedro Kaufmann, Leonardo Pellegrini
We show that when does not have few operator -- in the sense of Koszmider [P. Koszmider, Banach spaces of continuous functions with few operators. Math. Ann. 300 (2004), no.…