Acknowledgement of priority: Second derivates of convex functions.
R.M. Dudley (1980)
Mathematica Scandinavica
M. Rao (1973)
Studia Mathematica
Oscar Blasco, J. Carlos Candeal (1987)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
T.V. Panchapagesan (1987)
Revista colombiana de matematicas
Eva Matoušková (1999)
Studia Mathematica
Every separable infinite-dimensional superreflexive Banach space admits an equivalent norm which is Fréchet differentiable only on an Aronszajn null set.
Elisa R. Santos (2014)
Studia Mathematica
We introduce a weaker version of the polynomial Daugavet property: a Banach space X has the alternative polynomial Daugavet property (APDP) if every weakly compact polynomial P: X → X satisfies . We study the stability of the APDP by c₀-, - and ℓ₁-sums of Banach spaces. As a consequence, we obtain examples of Banach spaces with the APDP, namely and C(K,X), where X has the APDP.
Agrawal, Sushama, Kulkarni, S.H. (2000)
Novi Sad Journal of Mathematics
Jari Taskinen (1993)
Mathematische Annalen
Luděk Jokl (1981)
Commentationes Mathematicae Universitatis Carolinae
M. Fabián, V. Zizler (1999)
Extracta Mathematicae
J. Diestel (1972)
Mathematische Annalen
L. Di Piazza, V. Marraffa (2002)
Studia Mathematica
An integral for vector-valued functions on a σ-finite outer regular quasi-Radon measure space is defined by means of partitions of unity and it is shown that it is equivalent to the McShane integral. The multipliers for both the McShane and Pettis integrals are characterized.
Igor Kluvánek (1970)
Matematický časopis
S. Rolewicz (2006)
Studia Mathematica
Let (X,||·||) be a separable real Banach space. Let f be a real-valued strongly α(·)-paraconvex function defined on an open convex subset Ω ⊂ X, i.e. such that . Then there is a dense -set such that f is Gateaux differentiable at every point of .
V. Novo, L. Rodriguez Marin (1990)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
Jürgen Leiterer (1985)
Annales Polonici Mathematici
Jiří Jelínek (1999)
Commentationes Mathematicae Universitatis Carolinae
A slight modification of the definition of the Colombeau generalized functions allows to have a canonical embedding of the space of the distributions into the space of the generalized functions on a manifold. The previous attempt in [5] is corrected, several equivalent definitions are presented.
Richard Aron (2002)
Extracta Mathematicae
Mieczysław Altman (1984)
Banach Center Publications
B. Przeradzki (1988)
Annales Polonici Mathematici