Multiple summability properties for Cohen ‐summing operators |
| |
Authors: | Dumitru Popa |
| |
Affiliation: | Department of Mathematics, Ovidius University of Constanta, Constanta, Romania |
| |
Abstract: | We prove that Cohen p‐summing operators satisfy multiple summability properties. Some of these multiple summability properties are new even in the linear case. For example, we prove that the multilinear functional associated to a Cohen p‐summing n‐linear operator is multiple ‐summing. |
| |
Keywords: | Multiple p‐summing operators absolutely p‐summing operators Cohen summing operators Primary: 46G25 Secondary: 47H60 47L22 |
|
|