Results 81 to 90 of about 598 (181)
On a weighted Toeplitz operator and its commutant
International Journal of Mathematics and Mathematical Sciences, 2005 We study the structure of a class of weighted Toeplitz operators and obtain a description of the commutant of each operator in this class. We make some progress towards proving that the only operator in the commutant which is not a scalar multiple of the
Vasile Lauric
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On some numerical characteristics of operators
Arab Journal of Mathematical Sciences, 2015 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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Schatten Class Toeplitz Operators on the Bergman Space
International Journal of Mathematics and Mathematical Sciences, 2009 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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Toeplitz operators and Wiener-Hopf factorisation: an introduction
Concrete Operators, 2017 Wiener-Hopf factorisation plays an important role in the theory of Toeplitz operators. We consider here Toeplitz operators in the Hardy spaces Hp of the upper half-plane and we review how their Fredholm properties can be studied in terms of a Wiener-Hopf
Câmara M. Cristina
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Journal of Function SpacesThis 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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On the characterization of Toeplitz operators and fractional derivatives on Bloch-type space
四川大学学报. 自然科学版, 2023 We in this paper characterize the boundedness and compactness of a class of Toeplitz operator on the Bloch-type space. In addition, we also give a characterization for the functions in terms of fractional derivative.
JIA Ce +3 more
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Products of Several Toeplitz Operators
Journal of Functional Analysis, 2000 Let \(a\in L^\infty\) and \(T_a:H^2\to H^2\) be a Toeplitz operator with symbol \(a\) acting in Hardy space \(H^2\) on the unit disk. The author describes the necessary and sufficient conditions on symbols \(a_j\) of Toeplitz operators \(T_{a_j}\) when the identity \(T_{a_1}T_{a_2}\dots T_{a_n}=T_{a}\), \(a=a_1a_2\dots a_n\), holds for an arbitrary \(n\
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On the spectrum of a Toeplitz operator [PDF]
Pacific Journal of Mathematics, 1964 openaire +5 more sources
On the Growth of the Resolvent of a Toeplitz Operator
Zurnal matematiceskoj fiziki, analiza, geometriiSummary: We study the growth of the resolvent of a Toeplitz operator \(T_b\), defined on the Hardy space, in terms of the distance to its spectrum \(\sigma(T_b)\). We are primarily interested in the case when the symbol \(b\) is a Laurent polynomial (i.e., the matrix \(T_b\) is banded).
Golinskii, Leonid +2 more
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Restriction of Toeplitz Operators on Their Reducing Subspaces
Journal of Function Spaces, 2017 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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