Inclusions and coincidences for multiple summing multilinear mappings
- Using complex interpolation we prove new inclusion and coincidence theorems for multiple (fully) summing multilinear and holomorphic mappings. Among several other results we show that continuous n- linear forms on cotype 2 spaces are multiple (2; q(k),..., q(k))-summing, where 2(k-1) < n <= 2(k), q(0) = 2 and q(k+1) = 2q(k)/1+q(k) for k >= 0.
| Author details: | Geraldo Mßrcio de Azevedo Botelho, H. A. Braunss, Heinz Junek, Daniel Marinho Pellegrino |
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| URL: | http://www.ams.org/publications/journals/journalsframework/proc |
| ISSN: | 0002-9939 |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2009 |
| Publication year: | 2009 |
| Release date: | 2017/03/24 |
| Source: | Proceedings of the American Mathematical Society. - ISSN 0002-9939. - 137 (2009), 3, S. 991 - 1000 |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
| Peer review: | Referiert |
