Volume 3, Issue 1 (6-2022)                   MACO 2022, 3(1): 49-60 | Back to browse issues page

‎ 10.52547/maco.3.1.6
‎ 20.1001.1.27170624.2022.3.1.6.8

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Parvinianzadeh R, Pazhman J. A Collection of Local Spectra Preserving Maps. MACO 2022; 3 (1) :49-60
URL: http://maco.lu.ac.ir/article-1-104-en.html
A Collection of Local Spectra Preserving Maps
Rohollah Parvinianzadeh * , Jumakhan Pazhman
Abstract:   (1529 Views)
We collection some results about maps on the algebra of all bounded operators that preserve the local spectrum and local spectral radius at nonzero vectors. Also, we described maps that preserve operators of local spectral radius zero at points and discuss several problems in this direction. Finally, we collection maps that preserve the local spectral subspace of operators associated with any singleton.
 
Keywords: Local spectrum, Local spectral radius, Local spectral subspace, Nonlinear preservers, Matrices.
Full-Text [PDF 133 kb]   (1206 Downloads)    
Type of Study: Research Article | Subject: Mathematical Analysis
Published: 2022/07/24
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