Final published version
Licence: Other
Research output: Contribution to Journal/Magazine › Comment/debate › peer-review
| <mark>Journal publication date</mark> | 1/03/2005 |
|---|---|
| <mark>Journal</mark> | Journal of Functional Analysis |
| Issue number | 1 |
| Volume | 220 |
| Number of pages | 2 |
| Pages (from-to) | 240-241 |
| Publication Status | Published |
| <mark>Original language</mark> | English |
Very few Banach spaces E are known for which the lattice of closed ideals in the Banach algebra BðEÞ of all (bounded, linear) operators on E is fully understood. Indeed, upto now the only such Banach spaces are, up to isomorphism, Hilbert spaces and the sequence spaces c0 and cp for 1ppoN: We add a new member to this family by showing that there are exactly four closed ideals in BðEÞ for the Banach space E :¼ ð"cn2 Þc0 ; that is, E is the c0-direct sum of the finite-dimensional Hilbert spaces c1 2; c2 2;y; cn2 ;y . r