Toeplitz Operators, $$\mathbb {T}^m$$-Invariance and Quasi-homogeneous Symbols
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DOI: 10.1007/s00020-021-02673-1
Abstract: For a partition k = (k1, . . . , km) of n consider the group U(k) = U(k1) × · · · × U(km) block diagonally embedded in U(n) and the center T of… read more here.
Keywords: toeplitz; operators mathbb; mathbb invariance; toeplitz operators ... See more keywords
Kernels of Unbounded Toeplitz Operators and Factorization of Symbols
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DOI: 10.1007/s00025-020-01323-z
Abstract: We consider kernels of unbounded Toeplitz operators in $$H^p({\mathbb {C}}^{+})$$ H p ( C + ) in terms of a factorization of their symbols. We study the existence of a minimal Toeplitz kernel containing a… read more here.
Keywords: toeplitz; operators factorization; kernels unbounded; toeplitz operators ... See more keywords
Quasi-Toeplitz matrix arithmetic: a MATLAB toolbox
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DOI: 10.1007/s11075-018-0571-6
Abstract: A quasi-Toeplitz (QT) matrix is a semi-infinite matrix of the kind A=T(a)+E$A=T(a)+E$ where T(a)=(aj−i)i,j∈ℤ+$T(a)=(a_{j-i})_{i,j\in \mathbb Z^{+}}$, E=(ei,j)i,j∈ℤ+$E=(e_{i,j})_{i,j\in \mathbb Z^{+}}$ is compact and the norms∥a∥W=∑i∈ℤ|ai|$\|a\|_{_{\mathcal {W}}}={\sum }_{i\in \mathbb Z}|a_{i}|$ and ∥E∥2$\|E\|_{2}$ are finite. These properties allow… read more here.
Keywords: toolbox; toeplitz; toeplitz matrix; matrix ... See more keywords
On the Structure of Positive Semi-Definite Finite Rank General Domain Hankel and Toeplitz Operators in Several Variables
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DOI: 10.1007/s11785-016-0596-6
Abstract: Multivariate versions of the Kronecker theorem in the continuous multivariate setting has recently been published, that characterize the generating functions that give rise to finite rank multidimensional Hankel and Toeplitz type operators defined on general… read more here.
Keywords: semi definite; toeplitz; positive semi; hankel toeplitz ... See more keywords
Reducing Subspaces of Analytic Toeplitz Operators on the Bergman Space of the Annulus
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DOI: 10.1007/s11785-019-00957-4
Abstract: Let $$\mathbb {A}_{r}$$ be the annulus $$\{z\mid \,|z| read more here.
Keywords: subspaces analytic; toeplitz; reducing subspaces; bergman space ... See more keywords
Algebraic Properties of Toeplitz Operators on the Symmetrized Polydisk
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DOI: 10.1007/s11785-021-01108-4
Abstract: This paper is an effort to continue the legacy of the classically successful theory of Toeplitz operators on the Hardy space over the unit disk to a new domain in $${\mathbb {C}}^d$$ C d —the… read more here.
Keywords: symmetrized polydisk; algebraic properties; toeplitz; properties toeplitz ... See more keywords
On Toeplitz Operators with Biharmonic Symbols
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DOI: 10.1007/s40840-019-00763-3
Abstract: In this article, we study the commuting problem of Toeplitz operators acting on the Bergman space of the unit disk when one of the symbols is biharmonic. Particularly, we prove that if a Toeplitz operator… read more here.
Keywords: operators biharmonic; biharmonic symbols; toeplitz operators; toeplitz ... See more keywords
On algebras generated by Toeplitz operators and their representations
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DOI: 10.1016/j.jfa.2016.09.013
Abstract: Abstract We study Banach and C ⁎ -algebras generated by Toeplitz operators acting on weighted Bergman spaces A λ 2 ( B 2 ) over the complex unit ball B 2 ⊂ C 2 .… read more here.
Keywords: toeplitz; algebras generated; operators representations; generated toeplitz ... See more keywords
Commutants of separately radial Toeplitz operators in several variables
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DOI: 10.1016/j.jmaa.2017.03.088
Abstract: If φ is a bounded separately radial function on the unit ball, the Toeplitz operator Tφ is diagonalizable with respect to the standard orthogonal basis of monomials on the Bergman space. Given such a φ,… read more here.
Keywords: toeplitz; commutants separately; radial toeplitz; toeplitz operators ... See more keywords
A geometric mean for Toeplitz and Toeplitz-block block-Toeplitz matrices
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DOI: 10.1016/j.laa.2018.03.014
Abstract: Abstract Using the symbol functions and their associated Fourier series, we introduce a new definition of geometric mean for all positive semi-definite Toeplitz matrices and positive semi-definite block-Toeplitz matrices with Toeplitz structured blocks (TBBT). The… read more here.
Keywords: block toeplitz; toeplitz matrices; toeplitz; mean toeplitz ... See more keywords
Low-Complexity Digit-Serial Multiplier Over $GF(2^{m})$ Based on Efficient Toeplitz Block Toeplitz Matrix–Vector Product Decomposition
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DOI: 10.1109/tvlsi.2016.2605183
Abstract: In this paper, we have shown that a regular Toeplitz matrix-vector product (TMVP) can be transformed into a Toeplitz block TMVP (TBTMVP) using a suitable permutation matrix. Based on the TBTMVP representation, we have proposed… read more here.
Keywords: toeplitz; digit serial; block; toeplitz matrix ... See more keywords