scholarly journals Which Weighted Composition Operators are Complex Symmetric?

2013 ◽  
pp. 171-179 ◽  
Author(s):  
Stephan Ramon Garcia ◽  
Christopher Hammond
Keyword(s):  
Composition Operators ◽  
Weighted Composition Operators ◽  
Weighted Composition ◽  
Complex Symmetric

Complex symmetric weighted composition operators on the Hardy space

2020 ◽  
Vol 70 (3) ◽  
pp. 817-831
Author(s):  
Cao Jiang ◽  
Shi-An Han ◽  
Ze-Hua Zhou
Keyword(s):  
Hardy Space ◽  
Composition Operators ◽  
Weighted Composition Operators ◽  
Weighted Composition ◽  
Complex Symmetric

Complex symmetry of weighted composition operators in several variables

2016 ◽  
Vol 27 (02) ◽  
pp. 1650017 ◽  
Author(s):  
Maofa Wang ◽  
Xingxing Yao
Keyword(s):  
Composition Operators ◽  
Weighted Composition Operator ◽  
Weighted Composition Operators ◽  
General Function ◽  
Higher Dimensional ◽  
Weighted Composition ◽  
Complex Symmetric ◽  
Symmetric Operators ◽  
Funct Anal ◽  
General Function Space

In this paper, we investigate analytic symbols [Formula: see text] and [Formula: see text] when the weighted composition operator [Formula: see text] is complex symmetric on general function space [Formula: see text]. As applications, we characterize completely the compactness, normality and isometry of complex symmetric weighted composition operators. Especially, we show that the equivalence of compactness and Hilbert–Schmidtness, and the existence of non-normal complex symmetric operators for such operators, which answers one open problem raised by Noor in [On an example of a complex symmetric composition operators on [Formula: see text], J. Funct. Anal. 269 (2015) 1899–1901] for higher dimensional case.

scholarly journals Complex symmetric weighted composition operators onH2(D)

2014 ◽  
Vol 267 (2) ◽  
pp. 323-351 ◽  
Author(s):  
Sungeun Jung ◽  
Yoenha Kim ◽  
Eungil Ko ◽  
Ji Eun Lee
Keyword(s):  
Composition Operators ◽  
Weighted Composition Operators ◽  
Weighted Composition ◽  
Complex Symmetric
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