A Generalized Mixed Topology on Orlicz Spaces
نویسندگان
چکیده
منابع مشابه
Generalized Difference Sequence Spaces Defined by Orlicz Functions
The idea of difference sequences was first introduced by Kizmaz [4]. In this first paper we define some generalized difference sequence combining lacunary sequences and Orlicz function. We establish some relations between these sequence space.
متن کاملInductive limit topologies on Orlicz spaces
Let L be an Orlicz space defined by a convex Orlicz function φ and let E be the space of finite elements in L (= the ideal of all elements of order continuous norm). We show that the usual norm topology Tφ on L restricted to E can be obtained as an inductive limit topology with respect to some family of other Orlicz spaces. As an application we obtain a characterization of continuity of linear ...
متن کاملSome Generalizations on Generalized Topology and Minimal Structure Spaces
The aim of this paper is to introduce some generalizations for closed sets in generalized topology and minimal structure spaces. We investigate some properties of these sets on these spaces. Moreover, we give the concept of T0-GTMS spaces, T1/2-GTMS spaces and R0-GTMS spaces, and the various relationships between them.
متن کاملPolyhedrality in Orlicz Spaces
We present a construction of an Orlicz space admitting a C∞-smooth bump which depends locally on finitely many coordinates, and which is not isomorphic to a subspace of any C(K), K scattered. In view of the related results this space is possibly not isomorphic to a polyhedral space.
متن کاملOn non-effective weights in Orlicz spaces
Given a weight in , and a Young function , we consider the weighted modular ( ( )) ( ) and the resulting weighted Orlicz space ( ). For a Young function ∆ ( ) we present a necessary and sufficient conditions in order that ( ) = ( ) up to the equivalence of norms. We find a necessary and sufficient condition for in order that there exists an unbounded weight such that the above equality of space...
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: Revista Matemática Complutense
سال: 1994
ISSN: 1988-2807,1139-1138
DOI: 10.5209/rev_rema.1994.v7.n1.17761