کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9498468 | 1631205 | 2005 | 20 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Convergence of logarithmic trace inequalities via generalized Lie-Trotter formulae
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Convergence of logarithmic trace inequalities via generalized Lie-Trotter formulae Convergence of logarithmic trace inequalities via generalized Lie-Trotter formulae](/preview/png/9498468.png)
چکیده انگلیسی
We shall extend logarithmic trace inequalities shown by Bebiano et al. [N. Bebiano, R. Lemos, J. da Providencia, Inequalities for quantum relative entropy, preprint] and also by Hiai and Petz [The Golden-Thompson trace inequality is complemented, Linear Algebra Appl. 181 (1993) 153-185], by applying log majorization equivalent to an order preserving operator inequality. We shall generalize the Lie-Trotter formulae, which extend the original Lie-Trotter formula, and the α-mean variant of the original Lie-Trotter formula in Hiai-Petz [Linear Algebra Appl. 181 (1993) 153-185]. By using this generalized Lie-Trotter formulae, we shall consider the convergence of certain logarithmic trace inequalities, as some extensions of Bebiano et al. [N. Bebiano, R. Lemos, J. da Providencia, Inequalities for quantum relative entropy, preprint] and Hiai-Petz [The Golden-Thompson trace inequality is complemented, Linear Algebra Appl. 181 (1993) 153-185].
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 396, 1 February 2005, Pages 353-372
Journal: Linear Algebra and its Applications - Volume 396, 1 February 2005, Pages 353-372
نویسندگان
Takayuki Furuta,