Paragrassmann algebras as quantum spaces, Part II: Toeplitz Operators

DOI10.7900/jot.2012may24.1969zbMath1313.46034arXiv1205.5493OpenAlexW2053989183MaRDI QIDQ5169829

Stephen Bruce Sontz

Publication date: 14 July 2014

Published in: Journal of Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.5493

zbMATH Keywords

reproducing kernelsToeplitz operatorsquantum spacesparagrassmann algebras

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (6)

Toeplitz operators over the paragrassmann unit disk ⋮ Coherent states for the Manin plane via Toeplitz quantization ⋮ Toeplitz Quantization of an Analogue of the Manin Plane ⋮ A Reproducing Kernel and Toeplitz Operators in the Quantum Plane ⋮ Paragrassmann Algebras as Quantum Spaces Part I: Reproducing Kernels ⋮ Co-Toeplitz operators and their associated quantization

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