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On supra-additive and supra-multiplicative maps
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نویسنده
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chen j.x. ,chen z.l.
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منبع
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journal of function spaces - 2013 - دوره : 2013 - شماره : 0
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چکیده
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Let a and b be ordered algebras over reals,where a has a generating positive cone and b satisfies the property that b2>0 if 0≠bb. we give some conditions for a map t:a→b which is supra-additive and supra-multiplicative for all positive and negative elements to be linear and multiplicative; that is,t is a homomorphism of algebras. our results generalize some known results on supra-additive and supra-multiplicative maps between spaces of real functions. © 2013 jin xi chen and zi li chen.
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آدرس
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college of mathematics and information science,shaanxi normal university,xi'an 710062,china,department of mathematics,southwest jiaotong university, China, department of mathematics,southwest jiaotong university, China
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Authors
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