Topological algebras of infinite matrix operators between sequence spaces λ and μ  

作　　者：WU CongxinDepartment of Mathematics, Harbin Institute of Technology, Harbin 150001, China 

出　　处：《Chinese Science Bulletin》1997年第19期1591-1593,共3页

摘　　要：SINCE Michael (1952) published the first book about topological algebras, it has become abranch of functional analysis. Applications of topological algebras have been found in complexanalysis of several variables, differential geometry, unbounded operator and others, and alge-braic topology, k-theory and others have been applied to topological algebras (see, for exam-ple, ref.[2]). It is well known that the set of all continuous linear operators on Banach spaceconstitutes a Banach algebra, so it is obviously meaningful to study the topological algebra con-stituted by the set of all continuous linear operators on concrete topological vector space. It

关 键 词：topologiesl ALGEBRA SEQUENCE space INFINITE MATRIX m-convexity metrizability. 

分 类 号：O153[理学—数学]