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7 papers
Hilbert space representations of cross product algebras II
Konrad Schmuedgen, Elmar Wagner
In this paper, we study and classify Hilbert space representations of cross product *-algebras of the quantized enveloping algebra with the coordinate algebras $O(E_q(2)…
Operator representations of cross product algebras of Podles' quantum spheres
Konrad Schmuedgen, Elmar Wagner
Hilbert space representations of the cross product *-algebra of the Hopf *-algebra U_q(su_2) and its module *-algebras O(S^2_{qc}) of Podles' spheres are studied. Two classes of re…
On the moment problem of closed semi-algebraic sets
Konrad Schmuedgen
Let be a closed semi-algebraic set in $\dR^d$ such that there exist bounded real polynomials on . It is proved that the moment problem for is solva…
Hilbert Space Representations of Cross Product Algebras
Konrad Schmuedgen, Elmar Wagner
Hilbert space representations of cross product *-algebras of the Hopf *-algebras U_q(gl_2) with the coordinate algebras O(C^2_q) and O(R^3_q) of quantum vector spaces and U_q(su_2)…
On Well-behaved Unbounded Representations of *-Algebras
Konrad Schmuedgen
A general approach to the well-behaved unbounded *-representations of a *-algebra X is proposed. Let B be a normed *-algebra equipped with a left action |> of X on B such that (x |…
On holomorphic functions on a strip in the complex plane
Konrad Schmuedgen
Let be a holomorphic function on the strip , belonging to the class defined below. It is shown that there exist holomorphic functions $…