منابع مشابه
Products of Block Toeplitz
In this paper we characterize when the product of two block Toeplitz operators is a compact perturbation of a block Toeplitz operator on the Hardy space of the open unit disk. Necessary and suucient conditions are given for the commu-tator of two block Toeplitz operators to be compact.
متن کاملProducts of Block Toeplitz Operators
Let D be the open unit disk in the complex plane and ∂D the unit circle. Let dσ(w) be the normalized Lebesgue measure on the unit circle. We denote by L(C) (L for n=1) the space of C-valued Lebesgue square integrable functions on the unit circle. The Hardy space H(C) (H for n=1) is the closed linear span of C-valued analytic polynomials. We observe that L(C) = L ⊗ C and H(C) = H ⊗ C, where ⊗ de...
متن کاملComplexity of Toeplitz Products and Inverses
We derive a formula for the product of two Toeplitz matrices that is similar to the Trench formula for the inverse of a Toeplitz matrix. We then derive upper and lower bounds for number of multiphcations required to compute the inverse or the product of phtz matrices and consider several special cases, e.g., symmetry, as well. The lower unds for the general cases are in agreement with earlier r...
متن کاملProducts of Toeplitz Operators on a Vector Valued Bergman Space
We give a necessary and a sufficient condition for the boundedness of the Toeplitz product TF TG∗ on the vector valued Bergman space L 2 a(C ), where F and G are matrix symbols with scalar valued Bergman space entries. The results generalize those in the scalar valued Bergman space case [4]. We also characterize boundedness and invertibility of Toeplitz products TF TG∗ in terms of the Berezin t...
متن کاملLimit Distributions for Random Hankel, Toeplitz Matrices and Independent Products
For random selfadjoint (real symmetric, complex Hermitian, or quaternion self-dual) Toeplitz matrices and real symmetric Hankel matrices, the existence of universal limit distributions for eigenvalues and products of several independent matrices is proved. The joint moments are the integral sums related to certain pair partitions. Our method can apply to random Hankel and Toeplitz band matrices...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2002
ISSN: 0022-1236
DOI: 10.1006/jfan.2002.3946