maps completely preserving the quadratic operators
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نویسنده
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hosseinzadeh roja
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منبع
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sahand communications in mathematical analysis - 2023 - دوره : 20 - شماره : 2 - صفحه:123 -132
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چکیده
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Let a and b be standard operator algebras on banachspaces x and y, respectively. let ϕ : a → b be a bijective map.in this paper, we show that ϕ is completely preserving quadraticoperator in both directions if and only if ϕ is 2-quadratic preserving operator in both directions and if and only if ϕ is either anisomorphism or (in the complex case) a conjugate isomorphism.
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کلیدواژه
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preserving problem ,completely preserving problem ,quadratic operator ,operator algebra
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آدرس
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university of mazandaran, faculty of mathematical sciences, department of mathematics, iran
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پست الکترونیکی
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ro.hosseinzadeh@umz.ac.ir
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