| dc.contributor.author | Musundi, S. Wabomba | |
| dc.contributor.author | Sitati, N. Isaiah | |
| dc.contributor.author | Nzimbi, B Mutuku | |
| dc.contributor.author | Murwayi, A Lunani | |
| dc.date.accessioned | 2015-03-26T12:06:11Z | |
| dc.date.available | 2015-03-26T12:06:11Z | |
| dc.date.issued | 2013-06 | |
| dc.identifier.citation | Wabomba, M. S., Isaiah, S. N., Mutuku, N. B., & Lunani, M. A. ON ALMOST SIMILARITY OPERATOR EQUIVALENCE RELATION.JRRAS 15 ( 3 ) | en_US |
| dc.identifier.uri | http://www.arpapress.com/Volumes/Vol15Issue3/IJRRAS_15_3_11.pdf | |
| dc.identifier.uri | http://hdl.handle.net/11295/81718 | |
| dc.description.sponsorship | We consider the almost similarity property which is a new class in operator theory and was first introduced by A. A.
S. Jibril. We establish that almost similarity is an equivalence relation. Some results on
almost similarity and
isometries, compact operators, hermitian, normal and projection operator are also shown. By characterization of
unitary equivalence operators in terms of almost similarity we prove that operators that are similar are almost
similar.
We also claim that quasi
-
similarity implies almost similarity under certain conditions (i.e. if the quasi
-
affinities are assumed to be unitary operators).
Furthermore, a
condition under which almost similarity of operators implies similarity is investiga
ted. Lastly, we
show that two bounded linear operators
of a Banach algebra on a Hilbert space
are both completely non
-
unitary if they are contractions which are almost similar to each other | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | University of Nairobi | en_US |
| dc.subject | A lmost similarity, unita ry equivalence, unitary operator | en_US |
| dc.title | On almost similarity operator equivalence relation | en_US |
| dc.type | Article | en_US |
| dc.type.material | en_US | en_US |
