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Linear and Multilinear Algebra Volume 65, 2017 - Issue 3
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Articles

On the invertibility and range closedness of the linear combinations of a pair of projections

Tengfei LiShanwei Vocational Technical College, Shanwei, China.;School of Mathematics Science, South China Normal University, Guangzhou, China.Correspondence[email protected]
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Chunyuan DengSchool of Mathematics Science, South China Normal University, Guangzhou, China.View further author information
Pages 613-622 | Received 01 Mar 2016, Accepted 02 Jun 2016, Published online: 26 Jun 2016
 
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Abstract

The invertibility and range closedness of the linear combinations of a pair of projections

for any scalars are investigated.

AMS Subject Classifications:

Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

C. Deng was supported by the National Natural Science Foundation of China [grant number 11671261].

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