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On the Cauchy dual and complex symmetric of composition operators | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 8، دوره 12، شماره 2، بهمن 2021، صفحه 85-97 اصل مقاله (424.93 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2020.20826.2203 | ||
| نویسنده | ||
| Morteza Sohrabi* | ||
| Department of Mathematics, Lorestan University, Khorramabad, Iran | ||
| تاریخ دریافت: 16 تیر 1399، تاریخ پذیرش: 18 مرداد 1399 | ||
| چکیده | ||
| In this paper, firstly we show that some classical properties for Cauchy dual and Moore-Penrose inverse of composition operators, such as complex symmetric and Aluthge transform on $L^{2}(\Sigma)$. Secondly we give a characterization for some operator classes of weak $p$-hyponormal via Moore-Penrose inverse of composition operators. Finally, some examples are then presented to illustrate that, the Moore-Penrose inverse of composition operators lie between these classes. | ||
| کلیدواژه‌ها | ||
| Cauchy dual؛ Moore-Penrose inverse؛ polar decomposition؛ Aluthge transform؛ complex symmetric؛ $p$-hyponormal؛ $p$-paranormal | ||
| مراجع | ||
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