Bibliography: leaf 86-88.In the theory of locally convex topological vector spaces, barrelled topologies have been found to be stable under the formation of products, sums and quotients. We shall in this thesis investigate the stability of barrelled topologies with respect to two further mathematical constructions. Firstly, we examine the situation with regard to the formation of finite-codimensional and countable-codimensional subspaces. (Of course, barrelled topologies are not stable under the formation of arbitrary subspaces.) Secondly, we present what is known about the stability of barrelled topologies with respect to enlargements of the dual space - a concept which is defined in the sequel. This aspect of the stability question was ta...
This book is a systematic treatment of barrelled spaces, and of structures in which barrelledness co...
The aim of this paper is to clarify the properties of semi-barrelled spaces (also called countably q...
The aim of this paper is to clarify the properties of semi-barrelled spaces (also called countably q...
by Kin-Ming Liu.Thesis (M.Phil.)--Chinese University of Hong Kong, 1990.Bibliography: leaves 66-67.C...
Using the concept of the strings in the vector spaces, is developed a theory relatedto the topologic...
If $(E, \xi)$ is a locally convex space with dual $E'$ and $η$ is the coarsest topology finer than $...
If $(E, \xi)$ is a locally convex space with dual $E'$ and $η$ is the coarsest topology finer than $...
Versión aceptada de https://doi.org/10.1016/j.jmaa.2019.01.016[Abstract:] The g-barrelled groups con...
summary:Let $(E_{i})_{i\in I}$ be a family of normed spaces and $\lambda $ a space of scalar general...
summary:Let $(E_{i})_{i\in I}$ be a family of normed spaces and $\lambda $ a space of scalar general...
Let E and F be topological vector spaces and let G and Y be topological abelian groups. We say that ...
The g-barrelled groups constitute a vast class of abelian topological groups. It might be considered...
AbstractA weaker Mackey topology, infra-Mackey topology, is introduced. For an infra-Mackey space, d...
Boundedly completed and quasi-distinguished spaces and subspaces were in-troduced in [9] and [10]. I...
If (Ω,Σ,µ) is a finite atomless measure space and X is a normed space, we prove that the space Lp(µ,...
This book is a systematic treatment of barrelled spaces, and of structures in which barrelledness co...
The aim of this paper is to clarify the properties of semi-barrelled spaces (also called countably q...
The aim of this paper is to clarify the properties of semi-barrelled spaces (also called countably q...
by Kin-Ming Liu.Thesis (M.Phil.)--Chinese University of Hong Kong, 1990.Bibliography: leaves 66-67.C...
Using the concept of the strings in the vector spaces, is developed a theory relatedto the topologic...
If $(E, \xi)$ is a locally convex space with dual $E'$ and $η$ is the coarsest topology finer than $...
If $(E, \xi)$ is a locally convex space with dual $E'$ and $η$ is the coarsest topology finer than $...
Versión aceptada de https://doi.org/10.1016/j.jmaa.2019.01.016[Abstract:] The g-barrelled groups con...
summary:Let $(E_{i})_{i\in I}$ be a family of normed spaces and $\lambda $ a space of scalar general...
summary:Let $(E_{i})_{i\in I}$ be a family of normed spaces and $\lambda $ a space of scalar general...
Let E and F be topological vector spaces and let G and Y be topological abelian groups. We say that ...
The g-barrelled groups constitute a vast class of abelian topological groups. It might be considered...
AbstractA weaker Mackey topology, infra-Mackey topology, is introduced. For an infra-Mackey space, d...
Boundedly completed and quasi-distinguished spaces and subspaces were in-troduced in [9] and [10]. I...
If (Ω,Σ,µ) is a finite atomless measure space and X is a normed space, we prove that the space Lp(µ,...
This book is a systematic treatment of barrelled spaces, and of structures in which barrelledness co...
The aim of this paper is to clarify the properties of semi-barrelled spaces (also called countably q...
The aim of this paper is to clarify the properties of semi-barrelled spaces (also called countably q...