We will prove the statement in the title. We also give a better estimate for the hyperreflexivity constant for an analytic Toeplitz operator.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc67-0-19, author = {Kamila Kli\'s and Marek Ptak}, title = {Quasinormal operators are hyperreflexive}, journal = {Banach Center Publications}, volume = {68}, year = {2005}, pages = {241-244}, zbl = {1068.47087}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc67-0-19} }
Kamila Kliś; Marek Ptak. Quasinormal operators are hyperreflexive. Banach Center Publications, Tome 68 (2005) pp. 241-244. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc67-0-19/