On M-ideals in B(∑i=1∞⊗pℓrni)
For 1<p, r<∞, X=(∑i=1∞⊗pℓrni), {ni} bounded, the space K(X) of all compact operators on X is the only nontrivial M-ideal in the space B(X) of all bounded linear operators on X.
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| Format: | Article |
| Language: | English |
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Wiley
1987-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171287000607 |
| _version_ | 1826828263031308288 |
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| author | Chong-Man Cho |
| author_facet | Chong-Man Cho |
| author_sort | Chong-Man Cho |
| collection | DOAJ |
| description | For 1<p, r<∞, X=(∑i=1∞⊗pℓrni), {ni} bounded, the space K(X) of all compact operators on X is the only nontrivial M-ideal in the space B(X) of all bounded linear operators on X. |
| first_indexed | 2025-02-16T08:48:03Z |
| format | Article |
| id | doaj.art-30f32adbb98d484bb5bc4eec05d65f82 |
| institution | Directory Open Access Journal |
| issn | 0161-1712 1687-0425 |
| language | English |
| last_indexed | 2025-02-16T08:48:03Z |
| publishDate | 1987-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj.art-30f32adbb98d484bb5bc4eec05d65f822025-02-03T05:48:02ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251987-01-0110351351710.1155/S0161171287000607On M-ideals in B(∑i=1∞⊗pℓrni)Chong-Man Cho0Department of Mathematics, College of Natural Science, Hangyang University, Seoul 133, South KoreaFor 1<p, r<∞, X=(∑i=1∞⊗pℓrni), {ni} bounded, the space K(X) of all compact operators on X is the only nontrivial M-ideal in the space B(X) of all bounded linear operators on X.http://dx.doi.org/10.1155/S0161171287000607compact operatorshermitian elementM-ideal. |
| spellingShingle | Chong-Man Cho On M-ideals in B(∑i=1∞⊗pℓrni) International Journal of Mathematics and Mathematical Sciences compact operators hermitian element M-ideal. |
| title | On M-ideals in B(∑i=1∞⊗pℓrni) |
| title_full | On M-ideals in B(∑i=1∞⊗pℓrni) |
| title_fullStr | On M-ideals in B(∑i=1∞⊗pℓrni) |
| title_full_unstemmed | On M-ideals in B(∑i=1∞⊗pℓrni) |
| title_short | On M-ideals in B(∑i=1∞⊗pℓrni) |
| title_sort | on m ideals in b ∑i 1∞⊗plrni |
| topic | compact operators hermitian element M-ideal. |
| url | http://dx.doi.org/10.1155/S0161171287000607 |
| work_keys_str_mv | AT chongmancho onmidealsinbi1plrni |