کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9495473 1335131 2005 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Duality and operator algebras II: operator algebras as Banach algebras
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Duality and operator algebras II: operator algebras as Banach algebras
چکیده انگلیسی
We answer, by counterexample, several questions concerning algebras of operators on a Hilbert space. The answers add further weight to the thesis that, for many purposes, such algebras ought to be studied in the framework of operator spaces, as opposed to that of Banach spaces and Banach algebras. In particular, the 'nonselfadjoint analogue' of a w*-algebra resides naturally in the category of dual operator spaces, as opposed to dual Banach spaces. We also show that an automatic w*-continuity result in the preceding paper of the authors, is sharp.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 226, Issue 2, 15 September 2005, Pages 485-493
نویسندگان
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