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on (p, q)−centralizers of certain banach algebras
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نویسنده
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mehdipour mohammad javad ,salkhordeh narjes
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منبع
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journal of mathematical extension - 2023 - دوره : 17 - شماره : 8 - صفحه:1 -14
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چکیده
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Let a be an algebra with a right identity. in this paper, we study (p, q)−centralizers of a and show that every (p, q)−centralizer of a is a two-sided centralizer. in the case where, a is normed algebra, we also prove that (p, q)−centralizers of a are bounded. then, we apply the results for some group algebras and verify that l 1 (g) has a nonzero weakly compact (p, q)−centralizer if and only if g is compact and the center of l 1 (g) is non-zero. finally, we investigate (p, q)−jordan centralizers of a and determine them.
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کلیدواژه
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(p ,q)−centralizers ,(p ,q)−jordan centralizers ,algebras
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آدرس
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shiraz university of technology, faculty of science, department of mathematics, iran, shiraz university of technology, faculty of science, department of mathematics, iran
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پست الکترونیکی
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n.salkhordeh@sutech.ac.ir
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Authors
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