On some abstract convexity notions in real linear spaces
نویسندگان
چکیده
منابع مشابه
On Some Computability Notions for Real Functions
A widely used approach to computability of real functions is the one in Grzegorczyk’s style originating from [1]. This approach uses computable transformations of infinitistic names of real numbers, as well as general quantifiers over these names. Other approaches allow avoiding the use of such names at least in some cases. An approach of this other kind is, for instance, the one of Tent and Zi...
متن کاملConvexity Notions in Graphs
Let V be a finite set andM a finite collection of subsets of V . ThenM is an alignment of V if and only if M is closed under taking intersections and contains both V and the empty set. If M is an alignment of V , then the elements of M are called convex sets and the pair (V,M) is called an aligned space or a convexity space. If S ⊆ V , then the convex hull of S, denoted by CH(S), is the smalles...
متن کاملSome results on functionally convex sets in real Banach spaces
We use of two notions functionally convex (briefly, F--convex) and functionally closed (briefly, F--closed) in functional analysis and obtain more results. We show that if $lbrace A_{alpha} rbrace _{alpha in I}$ is a family $F$--convex subsets with non empty intersection of a Banach space $X$, then $bigcup_{alphain I}A_{alpha}$ is F--convex. Moreover, we introduce new definition o...
متن کاملSome algebraic notions related to analysis on metric spaces
There are versions of “calculus” in many settings, with various mixtures of algebra and analysis. In these informal notes we consider a few examples that suggest a lot of interesting questions.
متن کاملOn Some Convexity Properties of Generalized Cesáro Sequence Spaces
We define a generalized Cesáro sequence space and consider it equipped with the Luxemburg norm under which it is a Banach space, and we show that it is locally uniformly rotund. 2000 Mathematics Subject Classification: 46E30, 46E40, 46B20.
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: Mathematical Inequalities & Applications
سال: 2008
ISSN: 1331-4343
DOI: 10.7153/mia-11-47