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
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Ranks of complex skew symmetric operators and applications to Toeplitz operators
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
نویسندگان
, , ,