Results 71 to 80 of about 603 (182)

The Numerical Range of Toeplitz Operator on the Polydisk

Abstract and Applied Analysis, 2009
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 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, M.T. Garayev, S. Saltan, U. Yamancı   +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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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, CAO Guang-Fu, WANG Xiao-Feng, ZHANG Yi-Yuan   +3 more
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Hankel and Toeplitz Determinants for q-Starlike Functions Involving a q-Analog Integral Operator and q-Exponential Function

Journal of Function Spaces
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, Maslina Darus, Rabha W. Ibrahim   +2 more
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On the spectrum of a Toeplitz operator [PDF]

Pacific Journal of Mathematics, 1964
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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 Growth of the Resolvent of a Toeplitz Operator

Zurnal matematiceskoj fiziki, analiza, geometrii
Summary: 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, Kupin, Stanislas, Vishnyakova, Anna   +2 more
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