Title of article
A COLLECTION OF LOCAL SPECTRA PRESERVING MAPS
Author/Authors
Parvinianzadeh ، Rohollah Department of Mathematics - University of Yasouj , Pazhman ، Jumakhan Department of Mathematics - Ghor Institute of higher education
From page
49
To page
60
Abstract
We collected 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 describe maps that preserve operators of local spectral radius zero at points and discuss several problems in this direction. Finally, we collect 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
Journal title
Mathematical Analysis and Convex Optimization
Journal title
Mathematical Analysis and Convex Optimization
Record number
2735594
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