The bidual of a non-archimedean locally convex space
نویسندگان
چکیده
منابع مشابه
Non–archimedean Sequential Spaces and the Finest Locally Convex Topology with the Same Compactoid Sets
For a non-Archimedean locally convex space (E, τ), the finest locally convex topology having the same as τ convergent sequences and the finest locally convex topology having the same as τ compactoid sets are studied.
متن کاملStrongly almost ideal convergent sequences in a locally convex space defined by Musielak-Orlicz function
In this article, we introduce a new class of ideal convergent sequence spaces using an infinite matrix, Musielak-Orlicz function and a new generalized difference matrix in locally convex spaces. We investigate some linear topological structures and algebraic properties of these spaces. We also give some relations related to these sequence spaces.
متن کاملNon-commutative locally convex measures
We study weakly compact operators from a C∗-algebra with values in a complete locally convex space. They constitute a natural non-commutative generalization of finitely additive vector measures with values in a locally convex space. Several results of Brooks, Sâıto and Wright are extended to this more general setting. Building on an approach due to Sâıto and Wright, we obtain our theorems on no...
متن کاملBornological Completion of Locally Convex Cones
In this paper, firstly, we obtain some new results about bornological convergence in locally convex cones (which was studied in [1]) and then we introduce the concept of bornological completion for locally convex cones. Also, we prove that the completion of a bornological locally convex cone is bornological. We illustrate the main result by an example.
متن کاملOn the dual of certain locally convex function spaces
In this paper, we first introduce some function spaces, with certain locally convex topologies, closely related to the space of real-valued continuous functions on $X$, where $X$ is a $C$-distinguished topological space. Then, we show that their dual spaces can be identified in a natural way with certain spaces of Radon measures.
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: Indagationes Mathematicae (Proceedings)
سال: 1989
ISSN: 1385-7258
DOI: 10.1016/s1385-7258(89)80028-9