SUMS AND PRODUCTS OF CYCLIC OPERATORS
| dc.citation.epage | 1063 | en_US |
| dc.citation.issue | 4 | en_US |
| dc.citation.spage | 1053 | en_US |
| dc.citation.volume | 122 | en_US |
| dc.citation.woscount | 3 | |
| dc.contributor.author | WU, PY | en_US |
| dc.contributor.department | 交大名義發表 | zh_TW |
| dc.contributor.department | 應用數學系 | zh_TW |
| dc.contributor.department | National Chiao Tung University | en_US |
| dc.contributor.department | Department of Applied Mathematics | en_US |
| dc.date.accessioned | 2014-12-08T15:03:41Z | |
| dc.date.available | 2014-12-08T15:03:41Z | |
| dc.date.issued | 1994-12-01 | en_US |
| dc.description.abstract | It is proved that every bounded linear operator on a complex separable Hilbert space is the sum of two cyclic operators. For the product, we show that an operator T is the product of finitely many cyclic operators if and only if the kernel of T* is finite-dimensional. More precisely, if dimker T* less than or equal to k (2 less than or equal to k < infinity), then T is the product of at most k + 2 cyclic operators. We conjecture that in this case at most k cyclic operators would suffice and verify this for some special classes of operators. | en_US |
| dc.identifier.doi | 10.2307/2161173 | en_US |
| dc.identifier.issn | 0002-9939 | en_US |
| dc.identifier.journal | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | en_US |
| dc.identifier.uri | http://dx.doi.org/10.2307/2161173 | en_US |
| dc.identifier.uri | https://ir.lib.nycu.edu.tw/handle/11536/2226 | |
| dc.identifier.wosnumber | WOS:A1994PW47100013 | |
| dc.language.iso | en_US | en_US |
| dc.subject | CYCLIC OPERATOR | en_US |
| dc.subject | MULTICYCLIC OPERATOR | en_US |
| dc.subject | TRIANGULAR OPERATOR | en_US |
| dc.title | SUMS AND PRODUCTS OF CYCLIC OPERATORS | en_US |
| dc.type | Article | en_US |