Geodesic
Operators induced by weighted Toeplitz and weighted Hankel operators
Novi Sad Journal of Mathematics, Tome 48 (2018) no. 2.

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In this paper, the notion of $\it{weighted~Toep}$-$\it{Hank}$ operator $G_{\phi}^{\beta}$, induced by the symbol $\phi\in L^{\infty}(\beta)$, on the space $H^2(\beta)$, $\beta=\{\beta_n\}_{n\in \mathbb{Z}}$ being a semi-dual sequence of positive numbers with $\beta_0=1$, is introduced. Symbols are identified for the induced $\it{weighted~Toep}$-$\it{Hank}$ operator to be co-isometry, normal and hyponormal.
Publié le :
DOI : 10.30755/NSJOM.07018
Classification : 47B37, 47B35
Keywords: Hankel operators, Toeplitz operators, Hyponormal operator, Hilbert Schmidt operator, Toep-Hank operator 
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     author = {Gopal Datt and Anshika Mittal},
     title = {Operators induced by weighted {Toeplitz} and weighted {Hankel} operators},
     journal = {Novi Sad Journal of Mathematics},
     pages = {99 - 111},
     publisher = {mathdoc},
     volume = {48},
     number = {2},
     year = {2018},
     doi = {10.30755/NSJOM.07018},
     url = {http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.07018/}
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Gopal Datt; Anshika Mittal. Operators induced by weighted Toeplitz and weighted Hankel operators. Novi Sad Journal of Mathematics, Tome 48 (2018) no. 2. doi : 10.30755/NSJOM.07018. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.07018/

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