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
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
