A note on range-kernel uncomplementation
This note exhibits a Banach-space operator such that neither the range nor the kernel is complemented both for the operator and its adjoint
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| Format: | Article |
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De Gruyter
2017-10-01
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| Series: | Demonstratio Mathematica |
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| Online Access: | http://www.degruyter.com/view/j/dema.2017.50.issue-1/dema-2017-0027/dema-2017-0027.xml?format=INT |
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Article |
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doaj-1a2fb7bede9840b1a8c5d53d7f9a52712020-11-24T21:33:42ZengDe GruyterDemonstratio Mathematica2391-46612017-10-0150125226010.1515/dema-2017-0027dema-2017-0027A note on range-kernel uncomplementationKubrusly Carlos0Duggal Bhagwati Prashad1Catholic University of Rio de Janeiro, 22453-900, Rio de Janeiro, RJ, Brazil8 Redwood Grove, Northfield Avenue, Ealing, London W5 4SZ, United Kingdom of Great Britain and Northern IrelandThis note exhibits a Banach-space operator such that neither the range nor the kernel is complemented both for the operator and its adjointhttp://www.degruyter.com/view/j/dema.2017.50.issue-1/dema-2017-0027/dema-2017-0027.xml?format=INTBanach-space operatorscomplementationclosed rangeFredholm operators |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Kubrusly Carlos Duggal Bhagwati Prashad |
| spellingShingle |
Kubrusly Carlos Duggal Bhagwati Prashad A note on range-kernel uncomplementation Demonstratio Mathematica Banach-space operators complementation closed range Fredholm operators |
| author_facet |
Kubrusly Carlos Duggal Bhagwati Prashad |
| author_sort |
Kubrusly Carlos |
| title |
A note on range-kernel uncomplementation |
| title_short |
A note on range-kernel uncomplementation |
| title_full |
A note on range-kernel uncomplementation |
| title_fullStr |
A note on range-kernel uncomplementation |
| title_full_unstemmed |
A note on range-kernel uncomplementation |
| title_sort |
note on range-kernel uncomplementation |
| publisher |
De Gruyter |
| series |
Demonstratio Mathematica |
| issn |
2391-4661 |
| publishDate |
2017-10-01 |
| description |
This note exhibits a Banach-space operator such that neither the range nor the kernel is complemented both for the operator and its adjoint |
| topic |
Banach-space operators complementation closed range Fredholm operators |
| url |
http://www.degruyter.com/view/j/dema.2017.50.issue-1/dema-2017-0027/dema-2017-0027.xml?format=INT |
| work_keys_str_mv |
AT kubruslycarlos anoteonrangekerneluncomplementation AT duggalbhagwatiprashad anoteonrangekerneluncomplementation AT kubruslycarlos noteonrangekerneluncomplementation AT duggalbhagwatiprashad noteonrangekerneluncomplementation |
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1725952408913182720 |