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Titlebook: Operator Algebras, Toeplitz Operators and Related Topics; Wolfram Bauer,Roland Duduchava,Marinus A. Kaashoek Book 2020 Springer Nature Swi

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Twisted Dirac Operator on Quantum SU(2) in Disc Coordinateselds two twisted Dirac operators for different twists that are related by a gauge transformation and have bounded twisted commutators with a suitable algebra of differentiable functions on quantum SU(2).
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Toeplitz Algebras on the Harmonic Fock Spaceal symbols behave quite similar in both settings, namely, the Fock and the harmonic Fock spaces. In fact, these operators generate a commutative ..-algebra which is isomorphic to the algebra of uniformly continuous sequences with respect to the square root metric. On the contrary, Toeplitz operators
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Non-geodesic Spherical Funk Transforms with One and Two Centersh geodesic Funk transforms. We also show that, unlike the case of planes through a single common center, the integrals over spherical sections by planes through two distinct centers provide the corresponding reconstruction problem a unique solution.
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Fractional Integrodifferentiation and Toeplitz Operators with Vertical Symbolse formulated as follows: given two bounded vertical Toeplitz operators . and ., under which conditions is there a symbol . such that .? It turns out that this problem has a very nice connection with fractional calculus! We shall formulate our main results using the well-known theory of Riemann–Liouville fractional integrodifferentiation.
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Toeplitz Algebras on the Harmonic Fock Spaceerators with horizontal symbols is isomorphic to the algebra consisting of bounded uniformly continuous functions with respect to the standard metric on ., which, at the same time, is isomorphic to the ..-algebra generated by Toeplitz operators with horizontal symbols acting on the Fock space.
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