Complex symmetric weighted composition operators on H2(D)

On an example of a complex symmetric composition operator on H2(D)

“…In this specific case, an easy computation reveals that ϕ(z) = (3 − 2 √ 2 )z. In fact, we give a simple argument to show that [8,Cor. 3.5] always gives C ϕ normal.…”

“…In the article [8], an example of a composition operator C ϕ on the Hardy space H 2 (D) is discovered that is claimed to be complex symmetric but not normal. The purpose of this note is to highlight a mistake in the example that makes the result incorrect.…”

“…In [8,Example 3.6], it is claimed that if ϕ is the holomorphic self-map of the open unit disk D defined by…”

“…8.2]. The error lies in the claim that the complex symmetry of C ϕ follows from [8,Cor. 3.5], applied with…”

Generalized weighted composition operators on weighted Hardy spaces

“…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.…”