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cartesian decomposition of matrices and some norm inequalities
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نویسنده
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sheikhhosseini alemeh ,aghamollaei golamreza
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منبع
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wavelets and linear algebra - 2016 - دوره : 3 - شماره : 2 - صفحه:33 -42
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چکیده
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Let x be an nsquare complex matrix with the cartesian decomposition x = a + i b, where a and b are n times n hermitian matrices. it is known that ║ x ║p^2 ≤ 2(║a ║p^2 +║ b ║p^2), where p ≥ 2 and ║ . ║p is the schatten pnorm. in this paper, this inequality and some of its improvements are studied and investigated for the joint cnumerical radius, joint spectral radius, and for the cspectral norm of matrices.
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کلیدواژه
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joint c-numericalradius ,c-spectral norm
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آدرس
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shahid bahonar university of kerman, faculty of mathematics and computer, department of pure mathematics, ایران, shahid bahonar university of kerman, faculty of mathematics and computer, department of pure mathematics, ایران
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پست الکترونیکی
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aghamollaei@uk.ac.ir
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Authors
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