Sequential Continuity of Linear Mappings in Constructive Mathematics
Hajime Ishihara (Japan Advanced Institute of Science and Technology, Japan)
Abstract: This paper deals, constructively, with two theorems on the sequential continuity of linear mappings. The classical proofs of these theorems use the boundedness of the linear mappings, which is a constructively stronger property than sequential continuity; and constructively inadmissable versions of the Banach-Steinhaus theorem.
1.) Proceedings of the First Japan-New Zealand Workshop on Logic in Computer Science, special issue editors D.S. Bridges, C.S. Calude, M.J. Dinneen and B. Khoussainov.
Keywords: constructive mathematics, linear mappings, pointwise continuity, sequential continuity