Nathan S. Feldman

collaborators

3 papers

math.FA2015

A Convex Stone-Weierstrass Theorem & Applications

Nathan S. Feldman, Paul J. McGuire

A convex-polynomial is a convex combination of the monomials ${1, x, x^{2}, \dots}$ . This paper establishes that the convex-polynomials on $R$ are dense in $L^{p} (μ)$ and we…

math.FA2015

Convex-Cyclic Matrices, Convex-Polynomial Interpolation & Invariant Convex Sets

Nathan S. Feldman, Paul McGuire

We define a convex-polynomial to be one that is a convex combination of the monomials ${1, z, z^{2}, \dots}$ . This paper explores the intimate connection between peaking convex-po…

math.FA2014

On convex-cyclic operators

T. Bermúdez, A. Bonilla, N. Feldman

We give a Hahn-Banach Characterization for convex-cyclicity. We also obtain an example of a bounded linear operator $S$ on a Banach space with $σ_{p} (S^{*}) = \emptyset$ such that $S$ …