An operator inequality
An inequality is proved in abstract separable Hilbert space H where A and B are bounded self-adjoint positive operators defined in H such that R(A)=R(B) and R(A) is closed.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
1984-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171284000223 |
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doaj-5c1ea442837041ba8c5401083d6a7421 |
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Article |
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doaj-5c1ea442837041ba8c5401083d6a74212020-11-25T01:05:37ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251984-01-017120520710.1155/S0161171284000223An operator inequalityP. D. Siafarikas0Department of Mathematics, Section of Applied Mathematics, University of Patra, Patra, GreeceAn inequality is proved in abstract separable Hilbert space H where A and B are bounded self-adjoint positive operators defined in H such that R(A)=R(B) and R(A) is closed.http://dx.doi.org/10.1155/S0161171284000223Hilbert spacepositive operatorsgeneralized inverse. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
P. D. Siafarikas |
| spellingShingle |
P. D. Siafarikas An operator inequality International Journal of Mathematics and Mathematical Sciences Hilbert space positive operators generalized inverse. |
| author_facet |
P. D. Siafarikas |
| author_sort |
P. D. Siafarikas |
| title |
An operator inequality |
| title_short |
An operator inequality |
| title_full |
An operator inequality |
| title_fullStr |
An operator inequality |
| title_full_unstemmed |
An operator inequality |
| title_sort |
operator inequality |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
1984-01-01 |
| description |
An inequality is proved in abstract separable Hilbert space H where A and B are bounded self-adjoint positive operators defined in H such that R(A)=R(B) and R(A) is closed. |
| topic |
Hilbert space positive operators generalized inverse. |
| url |
http://dx.doi.org/10.1155/S0161171284000223 |
| work_keys_str_mv |
AT pdsiafarikas anoperatorinequality AT pdsiafarikas operatorinequality |
| _version_ |
1725193419613011968 |