کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4615535 | 1339321 | 2015 | 14 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Ranks of complex skew symmetric operators and applications to Toeplitz operators
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Ranks of complex skew symmetric operators and applications to Toeplitz operators Ranks of complex skew symmetric operators and applications to Toeplitz operators](/preview/png/4615535.png)
چکیده انگلیسی
We study the rank of complex skew symmetric operators on separable Hilbert spaces. We prove that a finite rank complex skew symmetric operator can't have an odd rank. As applications, we show that any finite rank commutator of two Toeplitz operators on the pluriharmonic Bergman space of the ball can't have an odd rank. We also show that for any positive even integer N, there are two Toeplitz operators whose commutator is exactly of rank N. Also we obtain the similar result for certain truncated Toeplitz operators.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 425, Issue 2, 15 May 2015, Pages 734–747
Journal: Journal of Mathematical Analysis and Applications - Volume 425, Issue 2, 15 May 2015, Pages 734–747
نویسندگان
Yong Chen, Hyungwoon Koo, Young Joo Lee,