Higher Order Uniformly Gâteaux Differentiable Norms on Orlicz Spaces
نویسندگان
چکیده
منابع مشابه
Analytic Norms in Orlicz Spaces
It is shown that an Orlicz sequence space hM admits an equivalent analytic renorming if and only if it is either isomorphic to l2n or isomorphically polyhedral. As a consequence, we show that there exists a separable Banach space admitting an equivalent C∞-Fréchet norm, but no equivalent analytic norm. In this note, we denote by hM as usual the subspace of an Orlicz sequence space lM generated ...
متن کاملOn uniformly nonsquare points and nonsquare points of Orlicz spaces*
For Orlicz spaces endowed with the Orlicz norm and the Luxemburg norm, the criteria for uniformly nonsquare points and nonsquare points are given.
متن کاملOn the uniformly normal structure of Orlicz spaces with Orlicz norm*
We prove that in Orlicz spaces endowed with Orlicz norm the uniformly normal structure is equivalent to the reflexivity.
متن کاملExponential Orlicz Spaces: New Norms and Applications. E.I.Ostrovsky.
The aim of this paper is investigating of Orlicz spaces with exponential N function and correspondence Orlicz norm: we introduce some new equivalent norms, obtain the tail characterization, study the product of functions in Orlicz spaces etc. We consider some applications: estimation of operators in Orlicz spaces and problem of martingales convergence and divergence.
متن کاملOrder continuous linear functionals on non-locally convex Orlicz spaces
The space of all order continuous linear functionals on an Orlicz space L defined by an arbitrary (not necessarily convex) Orlicz function φ is described.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 1995
ISSN: 0035-7596
DOI: 10.1216/rmjm/1181072209