نوع مقاله : مقاله پژوهشی
نویسندگان
دانشکده ریاضی، دانشگاه تحصیلات تکمیلی علوم پایه، زنجان، ایران
چکیده
کلیدواژهها
موضوعات
عنوان مقاله [English]
نویسندگان [English]
In this short note, the following new characterization of contractibility is stated and proved: A Banach algebra is contractible if and only if for any pair of Banach bimodules over that algebra, the closed linear subspace of all continuous bimodule morphisms between them, in the space of all bounded linear operators between them, is naturally topological complemented. Here, the phrase ``natural'' has been used with its meaning in Category Theory.
کلیدواژهها [English]
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