Using standard locally convex spaces techniques, it is shown that local completeness is preserved under the formation of closed subspaces, projective limits, Cartesian products and locally convex direct sums. We also prove that if every bounded set in a locally convex space is contained in a bounded disk that generates a reflexive space, then the space is semi-reflexive and that a regular inductive limit of such locally reflexive spaces is also semi-reflexive
This thesis is mainly concerned with linear topoJogical spaces in which local convexity is not assum...
AbstractIf is a B-convex normed Riesz space, then the topological completion of is a closed subspa...
Boundedly completed and quasi-distinguished spaces and subspaces were in-troduced in [9] and [10]. I...
Using standard locally convex spaces techniques, it is shown that local completeness is preserved un...
In this paper we discuss that if E[] is a barreled space such that every bounded subset of E is rela...
AbstractSemi-reflexivity and reflexivity of locally convex spaces over a field K with a, non-trivial...
AbstractA new and stronger proof of the principle of local reflexivity is given. Applications to nor...
summary:A notion of an almost regular inductive limits is introduced. Every sequentially complete in...
summary:Suppose that $X$ is a Fréchet space, $\langle a_{ij}\rangle$ is a regular method of summabil...
Número monográfico de la Revista de la Universidad de Santander, que reunió las Actas de las VI Jorn...
summary:An inductive locally convex limit of reflexive topological spaces is reflexive iff it is alm...
Abstract. An inductive locally convex limit of reflexive topological spaces is reflexive iff it is a...
Abstract. Three-space-stability of inductively (semi)-reflexive and some re-lated classes of locally...
In this paper it is shown a completion theorem of spaces of generalized sequences Λ{E} introduced by...
A strictly barrelled disk B in a Hausdorff locally convex space E is a disk such that the linear spa...
This thesis is mainly concerned with linear topoJogical spaces in which local convexity is not assum...
AbstractIf is a B-convex normed Riesz space, then the topological completion of is a closed subspa...
Boundedly completed and quasi-distinguished spaces and subspaces were in-troduced in [9] and [10]. I...
Using standard locally convex spaces techniques, it is shown that local completeness is preserved un...
In this paper we discuss that if E[] is a barreled space such that every bounded subset of E is rela...
AbstractSemi-reflexivity and reflexivity of locally convex spaces over a field K with a, non-trivial...
AbstractA new and stronger proof of the principle of local reflexivity is given. Applications to nor...
summary:A notion of an almost regular inductive limits is introduced. Every sequentially complete in...
summary:Suppose that $X$ is a Fréchet space, $\langle a_{ij}\rangle$ is a regular method of summabil...
Número monográfico de la Revista de la Universidad de Santander, que reunió las Actas de las VI Jorn...
summary:An inductive locally convex limit of reflexive topological spaces is reflexive iff it is alm...
Abstract. An inductive locally convex limit of reflexive topological spaces is reflexive iff it is a...
Abstract. Three-space-stability of inductively (semi)-reflexive and some re-lated classes of locally...
In this paper it is shown a completion theorem of spaces of generalized sequences Λ{E} introduced by...
A strictly barrelled disk B in a Hausdorff locally convex space E is a disk such that the linear spa...
This thesis is mainly concerned with linear topoJogical spaces in which local convexity is not assum...
AbstractIf is a B-convex normed Riesz space, then the topological completion of is a closed subspa...
Boundedly completed and quasi-distinguished spaces and subspaces were in-troduced in [9] and [10]. I...