On the existence of normal square and nth roots of operators
MH Mortad - The Journal of Analysis, 2020 - Springer
The primary purpose of this paper is to show the existence of normal square and nth roots of
some classes of bounded operators on Hilbert spaces. Two interesting simple results hold.
Namely, under simple conditions we show that if any operator T is such that T^ 2= 0 T 2= 0,
then this implies that T is normal and so T= 0 T= 0. Also, we will see when the square root of
an arbitrary bounded operator is normal.
some classes of bounded operators on Hilbert spaces. Two interesting simple results hold.
Namely, under simple conditions we show that if any operator T is such that T^ 2= 0 T 2= 0,
then this implies that T is normal and so T= 0 T= 0. Also, we will see when the square root of
an arbitrary bounded operator is normal.
On the Existence of Normal Square and Nth Roots of Operators
M Hichem Mortad - arXiv e-prints, 2018 - ui.adsabs.harvard.edu
The primary purpose of this paper is to show the existence of normal square and nth roots of
some classes of bounded operators on Hilbert spaces. Two interesting simple results hold.
Namely, under simple conditions we show that if any operator $ T $ is such that $ T^ 2= 0$,
then this implies that $ T $ is normal and so $ T= 0$. Also, we will see when the square root
of an arbitrary bounded operator is normal.
some classes of bounded operators on Hilbert spaces. Two interesting simple results hold.
Namely, under simple conditions we show that if any operator $ T $ is such that $ T^ 2= 0$,
then this implies that $ T $ is normal and so $ T= 0$. Also, we will see when the square root
of an arbitrary bounded operator is normal.
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