Some analogues of Knopp’s core theorem
Inequalities between certain functionals on the space of bounded real sequences are considered. Such inequalities being analogues of the classical theorem of Knopp on the core of a sequence. Also, a result is given on infinite matrices of bounded linear operators acting on bounded sequences in a Ban...
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| Format: | Article |
| Language: | English |
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Wiley
1979-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171279000454 |
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| _version_ | 1832556008384233472 |
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| author | I. J. Maddox |
| author_facet | I. J. Maddox |
| author_sort | I. J. Maddox |
| collection | DOAJ |
| description | Inequalities between certain functionals on the space of bounded real sequences are considered. Such inequalities being analogues of the classical theorem of Knopp on the core of a sequence. Also, a result is given on infinite matrices of bounded linear operators acting on bounded sequences in a Banach space. |
| format | Article |
| id | doaj-art-9fa1776edf6043e2a98df18f1ece7cf5 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1979-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-9fa1776edf6043e2a98df18f1ece7cf52025-02-03T05:46:32ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251979-01-012460561410.1155/S0161171279000454Some analogues of Knopp’s core theoremI. J. Maddox0Department of Pure Mathematics, Queen's University of Belfast, Belfast BT7 INN, IrelandInequalities between certain functionals on the space of bounded real sequences are considered. Such inequalities being analogues of the classical theorem of Knopp on the core of a sequence. Also, a result is given on infinite matrices of bounded linear operators acting on bounded sequences in a Banach space.http://dx.doi.org/10.1155/S0161171279000454core theoremfunctionals on the bounded sequencesinfinite matrices. |
| spellingShingle | I. J. Maddox Some analogues of Knopp’s core theorem International Journal of Mathematics and Mathematical Sciences core theorem functionals on the bounded sequences infinite matrices. |
| title | Some analogues of Knopp’s core theorem |
| title_full | Some analogues of Knopp’s core theorem |
| title_fullStr | Some analogues of Knopp’s core theorem |
| title_full_unstemmed | Some analogues of Knopp’s core theorem |
| title_short | Some analogues of Knopp’s core theorem |
| title_sort | some analogues of knopp s core theorem |
| topic | core theorem functionals on the bounded sequences infinite matrices. |
| url | http://dx.doi.org/10.1155/S0161171279000454 |
| work_keys_str_mv | AT ijmaddox someanaloguesofknoppscoretheorem |