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non-linear maps preserving the pseudo spectrum of operator products
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نویسنده
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parvinianzadeh rohollah ,asadipour meysam
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منبع
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هفتمين سمينار آناليز تابعي و كابردهاي آن - 1401 - دوره : 7 - هفتمین سمینار آنالیز تابعی و کابردهای آن - کد همایش: 01220-10879 - صفحه:0 -0
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چکیده
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Let b(h) be the algebra of all bounded linear operators oninnite-dimensional complex hilbert space h. fix > 0 and t 2 b(h),let (t) denote the -pseudo spectrum of t. in this note, we show ifthe surjective map ' on b(h) satises(ts ???? st) = ('(t)'(s) ???? '(s)'(t)); (t; s 2 b(h));then there exists a unitary operator u 2 b(h) such that '(t) = utufor every t 2 b(h), where 2 f????1; 1g:
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کلیدواژه
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nonlinear preserver ,-pseudo spectrum ,spectrum.
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آدرس
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, iran, , iran
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Authors
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