2012/08/21 by Mortad, Mohammed Hichem
#47A05 #FOS: Mathematics #Functional Analysis (math.FA)
paper · doi:10.48550/arxiv.1208.4346
We are interested in an open question raised by Fong-Tsui (dating back to the beginning of the eighties of last century) as to whether a bounded operator whose absolute value is less than the absolute value of its real part is self-adjoint. The analogue in the unbounded operators setting is also treated.