Positive Compact Operators on Quaternionic Hilbert Spaces
Year
: 2017
Abstract: In this paper, some properties of compact operators on quaternionic Hilbert spaces are studied. It is shown that the positiveness of a compact normal operator on a quaternionic Hilbert space is equivalent to positiveness of its eigenvalues. Some results analogous to the ones concerning compact operators on
Hilbert spaces are proved in the quaternionic context
Hilbert spaces are proved in the quaternionic context
Keyword(s): quaternionic Hilbert spaces,compact operators,positive operator
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Positive Compact Operators on Quaternionic Hilbert Spaces
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| contributor author | معصومه فشندی | en |
| contributor author | Massoumeh Fashandi | fa |
| date accessioned | 2020-06-06T13:33:00Z | |
| date available | 2020-06-06T13:33:00Z | |
| date issued | 2017 | |
| identifier uri | http://libsearch.um.ac.ir:80/fum/handle/fum/3359435 | |
| description abstract | In this paper, some properties of compact operators on quaternionic Hilbert spaces are studied. It is shown that the positiveness of a compact normal operator on a quaternionic Hilbert space is equivalent to positiveness of its eigenvalues. Some results analogous to the ones concerning compact operators on Hilbert spaces are proved in the quaternionic context | en |
| language | English | |
| title | Positive Compact Operators on Quaternionic Hilbert Spaces | en |
| type | Journal Paper | |
| contenttype | External Fulltext | |
| subject keywords | quaternionic Hilbert spaces | en |
| subject keywords | compact operators | en |
| subject keywords | positive operator | en |
| journal title | Thai Journal of Mathematics | fa |
| pages | 475-482 | |
| journal volume | 15 | |
| journal issue | 2 | |
| identifier link | https://profdoc.um.ac.ir/paper-abstract-1060560.html | |
| identifier articleid | 1060560 |