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Dominated polynomials and absolutely summing operators on infinite dimensional spaces
| Content Provider | Semantic Scholar |
|---|---|
| Author | Botelho, Geraldo Pellegrino, Daniel Rueda, Pilar |
| Copyright Year | 2009 |
| Abstract | In this note we prove, among other results, a conjecture posed in [3] on the existence of non-dominated scalar-valued homogeneous polynomials on arbitrary infinite dimensional Banach spaces. We also obtain new information on non-coincidences for linear absolutely summing operators by exploring the cotype of the Banach spaces involved. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv.org/pdf/0809.4496v3.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |