A note on strictly cyclic Shifts on ℓp
In this paper the author shows that a well known sufficient condition for strict cycliclty of a weighted shift on ℓp is not a necessary condition for any p with 1<p<∞.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1978-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S016117127800023X |
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| _version_ | 1832563103146967040 |
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| author | Gerd H. Fricke |
| author_facet | Gerd H. Fricke |
| author_sort | Gerd H. Fricke |
| collection | DOAJ |
| description | In this paper the author shows that a well known sufficient condition for strict cycliclty of a weighted shift on ℓp is not a necessary condition for any p with 1<p<∞. |
| format | Article |
| id | doaj-art-8ef4487584624e3eb52a45f21080f551 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1978-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-8ef4487584624e3eb52a45f21080f5512025-02-03T01:21:01ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251978-01-011220320810.1155/S016117127800023XA note on strictly cyclic Shifts on ℓpGerd H. Fricke0Department of Mathematics, Wright State University, Dayton 45431, Ohio, USAIn this paper the author shows that a well known sufficient condition for strict cycliclty of a weighted shift on ℓp is not a necessary condition for any p with 1<p<∞.http://dx.doi.org/10.1155/S016117127800023Xstrictly cyclic shiftsabsolutely p-summable sequenceℓp-spacecyclic operator algebras. |
| spellingShingle | Gerd H. Fricke A note on strictly cyclic Shifts on ℓp International Journal of Mathematics and Mathematical Sciences strictly cyclic shifts absolutely p-summable sequence ℓp-space cyclic operator algebras. |
| title | A note on strictly cyclic Shifts on ℓp |
| title_full | A note on strictly cyclic Shifts on ℓp |
| title_fullStr | A note on strictly cyclic Shifts on ℓp |
| title_full_unstemmed | A note on strictly cyclic Shifts on ℓp |
| title_short | A note on strictly cyclic Shifts on ℓp |
| title_sort | note on strictly cyclic shifts on lp |
| topic | strictly cyclic shifts absolutely p-summable sequence ℓp-space cyclic operator algebras. |
| url | http://dx.doi.org/10.1155/S016117127800023X |
| work_keys_str_mv | AT gerdhfricke anoteonstrictlycyclicshiftsonlp AT gerdhfricke noteonstrictlycyclicshiftsonlp |