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C*-algebras with the weak expectation property and a multivariable analogue of Ando's theorem on the numerical radius
C*-algebras the weak expectation property Ando's theorem the numerical radius
2011/8/23
Abstract: A classic theorem of T. Ando characterises operators that have numerical radius at most one as operators that admit a certain positive 2x2 operator matrix completion. In this paper we consid...
Some approximation properties of Lupa\cs $q$-analogue of Bernstein operators
q-Bernstein polynomials Lupa¸ s q-analogue Voronovskaja-type
2011/2/23
In this paper, we discuss rates of convergence for the Lupa¸s q-analogue of Bernstein
polynomials Rn,q. We prove a quantitative variant of Voronovskaja’s theorem for Rn,q.
A q-analogue of Catalan Hankel determinants
Catalan numbers determinants Dyck paths orthogonal polynomials continued fractions
2010/12/3
In this article we shall survey the various methods of evaluating Hankel determinants and
as an illustration we evaluate some Hankel determinants of a q-analogue of Catalan numbers.
Here we consider...