Binormal, complex symmetric operators

Generalized weighted composition operators on weighted Hardy spaces

“…= wm ψ(z), we see that ( 21) and ( 22) hold. Thus from (25), we obtain that ϕ(wz) = wϕ(z). Therefore,…”

“…In recent decades, complex symmetric composition operators and weighted composition operators acting on some Hilbert spaces of analytic functions have been studied considerably. See [3][4][5][6][7][8][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26]28] for more results on complex symmetric operators.…”

3-Complex Symmetric and Complex Normal Weighted Composition Operators on the Weighted Bergman Spaces of the Half-Plane

“…At the beginning, research was mainly focused on the study of complex symmetric operators on abstract Hilbert spaces (see [3][4][5]). As research continued, experts and scholars began to consider some special complex symmetric operators (such as composition operators and weighted composition operators) on analytic function spaces (see [6][7][8][9][10][11][12][13][14][15]).…”

2-Complex Symmetric Composition Operators on H2

“…The study of complex symmetric operators was initiated by Garcia, Putinar, and Wogen in [1][2][3][4]. See [5][6][7][8][9][10][11][12][13][14] for more results on complex symmetric operators. Definition 3.…”