Criterion of Polynomial Denseness and General Form of a Linear Continuous Functional on the Space C0w

  • A. G. Bakan

Abstract

For an arbitrary function w:R[0,1], we determine the general form of a linear continuous functional on the space C0w. The criterion for denseness of polynomials in the space L2(R,dμ) established by Hamburger in 1921 is extended to the spaces C0w.
Published
25.05.2002
How to Cite
Bakan, A. G. “Criterion of Polynomial Denseness and General Form of a Linear Continuous Functional on the Space C0w”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 54, no. 5, May 2002, pp. 610-22, https://umj.imath.kiev.ua/index.php/umj/article/view/4099.
Section
Research articles