$$(\alpha ,\beta )$$(α,β)-A-Normal operators in semi-Hilbertian spaces
Sign Up to like & getrecommendations! Published in 2019 at "Afrika Matematika"
DOI: 10.1007/s13370-019-00690-3
Abstract: Let $${\mathcal {H}}$$H be a Hilbert space and let A be a positive bounded operator on $${\mathcal {H}}$$H. The semi-inner product $$\langle u\;|\;v \rangle _A:=\langle Au\;|\;v\rangle ,\;\;u,v \in {\mathcal {H}}$$⟨u|v⟩A:=⟨Au|v⟩,u,v∈H induces a semi-norm $$\left\| .\;\right\|… read more here.
Keywords: beta normal; normal operators; operators semi; semi hilbertian ... See more keywords
On some numerical radius inequalities for normal operators in Hilbert spaces
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Interdisciplinary Mathematics"
DOI: 10.1080/09720502.2021.1930658
Abstract: Abstract Let T be a normal bounded operator on a Hilbert space and let ω(T) denote the numerical radius of T. In this paper, we give new inequalities numerical radius of normal operatos on a… read more here.
Keywords: normal operators; numerical radius; radius inequalities; operators hilbert ... See more keywords