Data di Pubblicazione:
2007
Citazione:
Quotients of continuous convex functions on nonreflexive Banach spaces / P. Holicky, O.F.K. Kalenda, L. Vesely, L. Zajicek. - In: BULLETIN OF THE POLISH ACADEMY OF SCIENCES. MATHEMATICS. - ISSN 0239-7269. - 55:3(2007), pp. 211-217.
Abstract:
On each nonreflexive Banach space X there exists a positive continuous convex function
f such that 1/f is not
a d.c. function (i.e., a difference of two continuous convex functions).
This result together with known ones implies that X is reflexive if and only if each
everywhere defined quotient of two continuous convex functions is a d.c. function.
Our construction gives also a stronger version of Klee''s result concerning renormings
of nonreflexive spaces and non-norm-attaining functionals.
Tipologia IRIS:
01 - Articolo su periodico
Elenco autori:
P. Holicky, O.F.K. Kalenda, L. Vesely, L. Zajicek
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