کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4665843 1633836 2014 23 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Which traces are spectral?
ترجمه فارسی عنوان
کدام ریزپردازها طیفی هستند؟
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
چکیده انگلیسی

Among ideals of compact operators on a Hilbert space we identify a subclass of those closed with respect to the logarithmic submajorization. Within this subclass, we answer the questions asked by Pietsch [22] and by Dykema, Figiel, Weiss and Wodzicki [7]. In the first case, we show that Lidskii-type formulae hold for every trace on such ideal. In the second case, we provide the description of the commutator subspace associated with a given ideal. Finally, we prove that a positive trace on an arbitrary ideal is spectral if and only if it is monotone with respect to the logarithmic submajorization.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 252, 15 February 2014, Pages 406–428
نویسندگان
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