کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4591523 | 1335034 | 2011 | 30 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Operator algebras with contractive approximate identities
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Operator algebras with contractive approximate identities Operator algebras with contractive approximate identities](/preview/png/4591523.png)
چکیده انگلیسی
We give several applications of a recent theorem of the second author, which solved a conjecture of the first author with Hay and Neal, concerning contractive approximate identities; and another of Hay from the theory of noncommutative peak sets, thereby putting the latter theory on a much firmer foundation. From this theorem it emerges there is a surprising amount of positivity present in any operator algebras with contractive approximate identity. We exploit this to generalize several results previously available only for C⁎-algebras, and we give many other applications.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 261, Issue 1, 1 July 2011, Pages 188-217
Journal: Journal of Functional Analysis - Volume 261, Issue 1, 1 July 2011, Pages 188-217