On the Essential Norm of Multiplications Operators Acting on Cesàro Sequence Spaces
In this article, we establish an important property about the growth of sequences in the dual space of Cesàro sequence spaces. As a consequence of this fact, we calculate the measure of noncompactness or the essential norm of the multiplication operator Mu acting on Cesàro sequence spaces cesp.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2019/5069610 |
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| _version_ | 1832562224030285824 |
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| author | Julio C. Ramos-Fernández María A. Rivera-Sarmiento Margot Salas-Brown |
| author_facet | Julio C. Ramos-Fernández María A. Rivera-Sarmiento Margot Salas-Brown |
| author_sort | Julio C. Ramos-Fernández |
| collection | DOAJ |
| description | In this article, we establish an important property about the growth of sequences in the dual space of Cesàro sequence spaces. As a consequence of this fact, we calculate the measure of noncompactness or the essential norm of the multiplication operator Mu acting on Cesàro sequence spaces cesp. |
| format | Article |
| id | doaj-art-d776ad79c99241e3aeb1fefad5628776 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-d776ad79c99241e3aeb1fefad56287762025-02-03T01:23:16ZengWileyJournal of Function Spaces2314-88962314-88882019-01-01201910.1155/2019/50696105069610On the Essential Norm of Multiplications Operators Acting on Cesàro Sequence SpacesJulio C. Ramos-Fernández0María A. Rivera-Sarmiento1Margot Salas-Brown2Proyecto Curricular de Matemáticas, Facultad de Ciencias y Educación, Universidad Distrital Francisco José de Caldas, Carrera 3 No. 26A-40, Bogotá, ColombiaProyecto Curricular de Matemáticas, Facultad de Ciencias y Educación, Universidad Distrital Francisco José de Caldas, Carrera 3 No. 26A-40, Bogotá, ColombiaDepartamento de Matemáticas Aplicadas y Ciencias de la Computación, Universidad del Rosario, Calle 12C No. 6-25, Bogotá, ColombiaIn this article, we establish an important property about the growth of sequences in the dual space of Cesàro sequence spaces. As a consequence of this fact, we calculate the measure of noncompactness or the essential norm of the multiplication operator Mu acting on Cesàro sequence spaces cesp.http://dx.doi.org/10.1155/2019/5069610 |
| spellingShingle | Julio C. Ramos-Fernández María A. Rivera-Sarmiento Margot Salas-Brown On the Essential Norm of Multiplications Operators Acting on Cesàro Sequence Spaces Journal of Function Spaces |
| title | On the Essential Norm of Multiplications Operators Acting on Cesàro Sequence Spaces |
| title_full | On the Essential Norm of Multiplications Operators Acting on Cesàro Sequence Spaces |
| title_fullStr | On the Essential Norm of Multiplications Operators Acting on Cesàro Sequence Spaces |
| title_full_unstemmed | On the Essential Norm of Multiplications Operators Acting on Cesàro Sequence Spaces |
| title_short | On the Essential Norm of Multiplications Operators Acting on Cesàro Sequence Spaces |
| title_sort | on the essential norm of multiplications operators acting on cesaro sequence spaces |
| url | http://dx.doi.org/10.1155/2019/5069610 |
| work_keys_str_mv | AT juliocramosfernandez ontheessentialnormofmultiplicationsoperatorsactingoncesarosequencespaces AT mariaariverasarmiento ontheessentialnormofmultiplicationsoperatorsactingoncesarosequencespaces AT margotsalasbrown ontheessentialnormofmultiplicationsoperatorsactingoncesarosequencespaces |