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a collection of local spectra preserving maps
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نویسنده
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parvinianzadeh rohollah ,pazhman jumakhan
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منبع
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mathematical analysis and convex optimization - 2022 - دوره : 3 - شماره : 1 - صفحه:49 -60
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چکیده
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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.
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کلیدواژه
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local spectrum ,local spectral radius ,local spectral subspace ,nonlinear preservers ,matrices
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آدرس
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university of yasouj, department of mathematics, iran, ghor institute of higher education, department of mathematics, afghanistan
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پست الکترونیکی
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jumapazhman@gmail.com
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Authors
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