this paper we derive some results about sequentially continuous linear mappings within BISH. These results tend to reinforce our hope that such mappings may turn out to be bounded (continuous) after all. For background material on BISH, see [1], and for information about the relation between BISH, INT, and RUSS, see [2]. 2 Sequential continuity preserves Cauchynes
Theorems of iteration g-contractive sequential composite mapping and periodic mapping in Banach or p...
In this paper it is shown that the class LnWU (E1,E2,...,En;F) of weakly uniformly continuous n-line...
topics. However, only a modest preliminary knowledge is needed. In the first chapter, where we intro...
This paper deals, constructively, with two theorems on the sequential continuity of linear mappings....
This book presents a detailed, self-contained theory of continuous mappings. It is mainly addressed ...
AbstractThe usual setting for Functional Analysis is the category LCS of locally convex topological ...
In this paper, it is shown that a mapping from a sequential space is continuous iff it is sequentia...
Abstract. We give a simple order-theoretic construction of a cartesian closed category of sequential...
summary:We study conditions under which sequentially continuous functions on topological spaces and ...
AbstractIt is shown, constructively, that the mapping T AT is sequentially continuous with respect...
. There is a sizeable class of results precisely relating boundedness, convergence and differentiabi...
AbstractIshiharaʼs boundedness principle BD-N was introduced in Ishihara (1992) [5] and has turned o...
AbstractConsider the isometric property (P): the restriction to the unit ball of every bounded linea...
In this paper, we define the concept of continuous, sequentially continuous, and strongly continuous...
We discuss the foundations of constructive mathematics, including recursive mathematics and intuitio...
Theorems of iteration g-contractive sequential composite mapping and periodic mapping in Banach or p...
In this paper it is shown that the class LnWU (E1,E2,...,En;F) of weakly uniformly continuous n-line...
topics. However, only a modest preliminary knowledge is needed. In the first chapter, where we intro...
This paper deals, constructively, with two theorems on the sequential continuity of linear mappings....
This book presents a detailed, self-contained theory of continuous mappings. It is mainly addressed ...
AbstractThe usual setting for Functional Analysis is the category LCS of locally convex topological ...
In this paper, it is shown that a mapping from a sequential space is continuous iff it is sequentia...
Abstract. We give a simple order-theoretic construction of a cartesian closed category of sequential...
summary:We study conditions under which sequentially continuous functions on topological spaces and ...
AbstractIt is shown, constructively, that the mapping T AT is sequentially continuous with respect...
. There is a sizeable class of results precisely relating boundedness, convergence and differentiabi...
AbstractIshiharaʼs boundedness principle BD-N was introduced in Ishihara (1992) [5] and has turned o...
AbstractConsider the isometric property (P): the restriction to the unit ball of every bounded linea...
In this paper, we define the concept of continuous, sequentially continuous, and strongly continuous...
We discuss the foundations of constructive mathematics, including recursive mathematics and intuitio...
Theorems of iteration g-contractive sequential composite mapping and periodic mapping in Banach or p...
In this paper it is shown that the class LnWU (E1,E2,...,En;F) of weakly uniformly continuous n-line...
topics. However, only a modest preliminary knowledge is needed. In the first chapter, where we intro...