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matricial radius:a relation of numerical radius with matricialrange
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نویسنده
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kian mohsen ,sattari mostafa ,dehghani mahdi
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منبع
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journal of mathematical extension - 2021 - دوره : 15 - شماره : 3 - صفحه:1 -12
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چکیده
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It has been shown that if t is a complex matrix, then ω(t) = 1 n sup {|tr x|; x ∈ wn (t)} = 1 n sup {kxk1; x ∈ wn (t)} = sup {ω(x); x ∈ wn (t)} where n is a positive integer, ω(t) is the numerical radius and wn (t) is the n’th matricial range of t.
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کلیدواژه
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numerical range ,matricial range ,completely positive mapping ,numerical radius.
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آدرس
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university of bojnord, faculty of science, department of mathematics, iran, university of zabol, faculty of basic sciences, department of mathematics, iran, university of kashan, faculty of mathematical sciences, department of mathematics, iran
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پست الکترونیکی
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m.dehghani@kashanu.ac.ir
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Authors
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