Submatrices of summability matrices
It is proved that a matrix that maps ℓ1 into ℓ1 can be obtained from any regular matrix by the deletion of rows. Similarly, a conservative matrix can be obtained by deletion of rows from a matrix that preserves boundedness. These techniques are also used to derive a simple sufficient condition for a...
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| Format: | Article |
| Language: | English |
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Wiley
1978-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171278000502 |
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| _version_ | 1832563080131772416 |
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| author | J. A. Fridy |
| author_facet | J. A. Fridy |
| author_sort | J. A. Fridy |
| collection | DOAJ |
| description | It is proved that a matrix that maps ℓ1 into ℓ1 can be obtained from any regular matrix by the deletion of rows. Similarly, a conservative matrix can be obtained by deletion of rows from a matrix that preserves boundedness. These techniques are also used to derive a simple sufficient condition for a matrix to sum an unbounded sequence. |
| format | Article |
| id | doaj-art-59b4d57855d04600a140d2223e169478 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1978-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-59b4d57855d04600a140d2223e1694782025-02-03T01:20:58ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251978-01-011451952410.1155/S0161171278000502Submatrices of summability matricesJ. A. Fridy0Department of Mathematics, Kent State University, Kent 44242, Ohio, USAIt is proved that a matrix that maps ℓ1 into ℓ1 can be obtained from any regular matrix by the deletion of rows. Similarly, a conservative matrix can be obtained by deletion of rows from a matrix that preserves boundedness. These techniques are also used to derive a simple sufficient condition for a matrix to sum an unbounded sequence.http://dx.doi.org/10.1155/S0161171278000502regular matrixℓ−ℓ matrixconservative matrix. |
| spellingShingle | J. A. Fridy Submatrices of summability matrices International Journal of Mathematics and Mathematical Sciences regular matrix ℓ−ℓ matrix conservative matrix. |
| title | Submatrices of summability matrices |
| title_full | Submatrices of summability matrices |
| title_fullStr | Submatrices of summability matrices |
| title_full_unstemmed | Submatrices of summability matrices |
| title_short | Submatrices of summability matrices |
| title_sort | submatrices of summability matrices |
| topic | regular matrix ℓ−ℓ matrix conservative matrix. |
| url | http://dx.doi.org/10.1155/S0161171278000502 |
| work_keys_str_mv | AT jafridy submatricesofsummabilitymatrices |