On tame operators between non-archimedean power seris spaces
| dc.contributor.author | Śliwa, Wiesław | |
| dc.contributor.author | Ziemkowska, Agnieszka | |
| dc.date.accessioned | 2013-02-01T15:23:54Z | |
| dc.date.available | 2013-02-01T15:23:54Z | |
| dc.date.issued | 2012 | |
| dc.description.abstract | Let p {1∞}. We show that any continuous linear operator T from A1(a) to Ap(b) is tame i.e. there exists a positive integer c such that supx IITxIIk=/IxIck < ∞ for every k N. Next we prove that a similar result holds for operators from A∞(a) to Ap(b) if and only if the set Mba of all finite limit points of the double sequence (bj/ai/I,j N is bounded. Finally we show that the range of every tame operator from A∞(a) to A∞(b) has a Schauder basis. | pl_PL |
| dc.description.sponsorship | The National Centre of Science, Poland (grants no. N N201 605340, no. N N201 610040) | pl_PL |
| dc.identifier.citation | Acta Math. Sin. (Engl. Ser.), 28(2012), 869-884. | pl_PL |
| dc.identifier.uri | http://hdl.handle.net/10593/4296 | |
| dc.language.iso | en | pl_PL |
| dc.title | On tame operators between non-archimedean power seris spaces | pl_PL |