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Closed ideals of operators acting on some families of sequence spaces
| Content Provider | Semantic Scholar |
|---|---|
| Author | Wallis, Ben |
| Copyright Year | 2018 |
| Abstract | We study the lattice of closed ideals in the algebra of continuous linear operators acting on $p$th Tandori and $p'$th Ces\`{a}ro sequence spaces, $1\leqslant p<\infty$, which we show are isomorphic to the classical sequence spaces $(\oplus_{n=1}^\infty\ell_\infty^n)_p$ and $(\oplus_{n=1}^\infty\ell_1^n)_{p'}$, respectively. We also show that Tandori sequence spaces are complemented in certain Lorentz sequence spaces, and that the lattice of closed ideals for certain other Lorentz and Garling sequence spaces has infinite cardinality. |
| File Format | PDF HTM / HTML |
| DOI | 10.1007/s43037-019-00026-0 |
| Alternate Webpage(s) | https://arxiv.org/pdf/1806.00382v3.pdf |
| Alternate Webpage(s) | https://export.arxiv.org/pdf/1806.00382 |
| Alternate Webpage(s) | https://doi.org/10.1007/s43037-019-00026-0 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
