Abstract
Let <TEX>$\mathcal{A}^*$</TEX> denotes the class of operators satisfying <TEX>$|T^2|{\geq}|T^*|^2$</TEX>. In this paper, we show if the restriction to a non-trivial invariant subspace <TEX>$\mathcal{M}$</TEX> of an operator <TEX>$T{\in}\mathcal{A}^*$</TEX> is normal, then <TEX>$\mathcal{M}$</TEX> reduces T.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
