Results 101 to 110 of about 1,173,022 (231)
More subnormal Toeplitz operators.
In an earlier paper, J. J. Long and the author presented a subnormal Toeplitz operator that is neither normal nor analytic. It was constructed using the conformal map \(\psi\) of the disk onto the interior of the ellipse with vertices \(\pm i(1+\alpha)\) passing through \(\pm (1-\alpha)\) where ...
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The Numerical Range of Toeplitz Operator on the Polydisk
The numerical range and normality of Toeplitz operator acting on the Bergman space and pluriharmonic Bergman space on the polydisk is investigated in this paper.
Dinggui Gu
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On some numerical characteristics of operators
We investigate some numerical characteristics of Toeplitz operators including the numerical range, maximal numerical range and maximal Berezin set. Further, we establish an inequality for the Berezin number of an arbitrary operator on the Hardy–Hilbert ...
M. Gürdal +3 more
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Asymptotic Toeplitz Operators [PDF]
Barria, Jose, Halmos, P. R.
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Schatten Class Toeplitz Operators on the Bergman Space
We have shown that if the Toeplitz operator Tϕ on the Bergman space La2(𝔻) belongs to the Schatten class Sp,1 ...
Namita Das
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On Calder�n-Toeplitz operators
Let \(\psi\in L^ 2(\mathbb{R}^ d)\) be an admissible wavelet, \(\psi_ \xi(x)= t^{-d/2} \psi\Bigl({x-v\over t}\Bigr)\), \(\xi= (v,t)\), \(G\) the ``\(ax+ b\)''-group, i.e. \(G=\{\xi= (v,t): v\in \mathbb{R}^ d, t>0\}\), \(d\xi= t^{d-1}dv dt\) the left invariant measure on \(G\).
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Let Cn, Tn and Hn denote almost circulant, Cauchy-ToeplitZ and Cauchy-Hankel matrices, respectively. We find some upper bounds for \(\ell_p\) matrix norm and \(\ell_p\) operator norm of this matrices. Moreover, we give some results for Kronecker products
Süleyman Solak, D. Bozkurt
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This article investigates the upper bounds of the second Hankel and Toeplitz determinants for a family of q-starlike functions defined by a q-analog integral operator, which is a more general form of the q-Srivastava-Attiya operator, and the q ...
Sarem H. Hadi +2 more
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Restriction of Toeplitz Operators on Their Reducing Subspaces
We study the restrictions of analytic Toeplitz operator on its minimal reducing subspaces for the unit disc and construct their models on slit domains. Furthermore, it is shown that Tzn is similar to the sum of n copies of the Bergman shift.
Anjian Xu, Yang Zou
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Structured Distance to Normality of Dirichlet–Neumann Tridiagonal Toeplitz Matrices
This paper conducts a rigorous study on the spectral properties and operator-space distances of perturbed Dirichlet–Neumann tridiagonal (PDNT) Toeplitz matrices, with emphasis on their asymptotic behaviors. We establish explicit closed-form solutions for
Zhaolin Jiang +3 more
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