THE CONSERVATIVE MATRIX ON LOCALLY CONVEX SPACES
Let (X, τX) and (Y, τY) be locally convex spaces, c(X) and c(Y) the X-valued and Y-valued convergent sequence spaces, respectively, Aij ϵ L(X, Y) and A = (Aij) an operator-valued infinite matrix. In this paper, we characterize the matrix A = (Aij) which transforms c(X) into c(Y). As its applications...
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| Published in | Taiwanese journal of mathematics Vol. 7; no. 2; pp. 283 - 291 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Mathematical Society of the Republic of China (Taiwan)
01.06.2003
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| Subjects | |
| Online Access | Get full text |
| ISSN | 1027-5487 2224-6851 |
| DOI | 10.11650/twjm/1500575065 |
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| Abstract | Let (X, τX) and (Y, τY) be locally convex spaces, c(X) and c(Y) the X-valued and Y-valued convergent sequence spaces, respectively, Aij ϵ L(X, Y) and A = (Aij) an operator-valued infinite matrix. In this paper, we characterize the matrix A = (Aij) which transforms c(X) into c(Y). As its applications, we introduce the chi function χ on locally convex spaces, and show that a conservative matrix is conull if and only if χ(A) = 0. |
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| AbstractList | Let (X, τX) and (Y, τY) be locally convex spaces, c(X) and c(Y) the X-valued and Y-valued convergent sequence spaces, respectively, Aij ϵ L(X, Y) and A = (Aij) an operator-valued infinite matrix. In this paper, we characterize the matrix A = (Aij) which transforms c(X) into c(Y). As its applications, we introduce the chi function χ on locally convex spaces, and show that a conservative matrix is conull if and only if χ(A) = 0. |
| Author | Dohan, Kim Junde, Wu Minhyung, Cho |
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| Snippet | Let (X, τX) and (Y, τY) be locally convex spaces, c(X) and c(Y) the X-valued and Y-valued convergent sequence spaces, respectively, Aij ϵ L(X, Y) and A = (Aij)... |
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| StartPage | 283 |
| SubjectTerms | Applied mathematics College mathematics Linear transformations Mathematical sequences Matrices Topological spaces |
| Title | THE CONSERVATIVE MATRIX ON LOCALLY CONVEX SPACES |
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