Results 11 to 20 of about 463,715 (164)
Reducing Subspaces of the Dual Truncated Toeplitz Operator
Journal of Function Spaces, 2018 We define the dual truncated Toeplitz operators and give some basic properties of them. In particular, spectrum and reducing subspaces of some special dual truncated Toeplitz operator are characterized.
Yinyin Hu +4 more
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Classifying Higher Rank Toeplitz Operators. [PDF]
, 2007 To a higher rank directed graph (Λ, d), in the sense of Kumjian and Pask, 2000, one can associate natural noncommutative analytic Toeplitz algebras, both weakly closed and norm closed.
Power, S.C.
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Uniform bounds on the 1-norm of the inverse of lower triangular Toeplitz matrices [PDF]
, 2011 A uniform bound on the 1-norm is given for the inverse of a lower triangular Toeplitz matrix with non-negative monotonically decreasing entries whose limit is zero. The new bound is sharp under certain specified constraints.
J.Y. Yuan +7 more
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Multidimensional Toeplitz and Truncated Toeplitz Operators [PDF]
, 2021 In this thesis we extend previous studies of Toeplitz and truncated Toeplitz operators by studying both Toeplitz and truncated Toeplitz operators with matrix symbols.
O'Loughlin, Ryan
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Operator identities for standard weighted Bergman shift and Toeplitz operators [PDF]
, 2013 We prove an operator identity for the shift operator in the scale of standard weighted Bergman spaces in the unit disc. This operator identity is then applied in the context of functional calculus for the shift operator and a characterization of harmonic
Olofsson, Anders +3 more
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Invertibility and Fredholm Property of Fock Toeplitz Operators
Mathematics, 2023 We characterize some necessary and sufficient conditions of invertible Toeplitz operators acting on the Fock space. In particular, we study the Fredholm properties of Toeplitz operators with BMO1 symbols, where their Berezin transforms are bounded ...
Chunxu Xu, Tao Yu
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Toeplitz Operators on the Weighted Pluriharmonic Bergman Space with Radial Symbols
Abstract and Applied Analysis, 2011 We construct an operator R whose restriction onto weighted pluriharmonic Bergman Space bμ2(Bn) is an isometric isomorphism between bμ2(Bn) and l2#. Furthermore, using the operator R we prove that each Toeplitz operator Ta with radial symbols is unitary ...
Zhi Ling Sun, Yu Feng Lu
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Abstract and Applied Analysis, 2013 We study some algebraic properties of Toeplitz operator with quasihomogeneous or separately quasihomogeneous symbol on the pluriharmonic Bergman space of the unit ball in ℂn. We determine when the product of two Toeplitz operators with certain separately
Hongyan Guan, Liu Liu, Yufeng Lu
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Toeplitz Operators whose Symbols Are Borel Measures
Journal of Function Spaces, 2021 In this paper, we are concerned with Toeplitz operators whose symbols are complex Borel measures. When a complex Borel measure μ on the unit circle is given, we give a formal definition of a Toeplitz operator Tμ with symbol μ, as an unbounded linear ...
Jaehui Park
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Berezin-Toeplitz Quantization for Compact Kähler Manifolds. A Review of Results
Advances in Mathematical Physics, 2010 This article is a review on Berezin-Toeplitz operator and Berezin-Toeplitz deformation quantization for compact quantizable Kähler manifolds. The basic objects, concepts, and results are given.
Martin Schlichenmaier
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