Separating polynomials, uniform analytical and separating functions

  • M.A. Mytrofanov Institute for Applied Problems of Mechanics and Mathematics, 3b Naukova str., 79060, Lviv, Ukraine
Keywords: separating polynomials, separating functions, analytical functions
Published online: 2015-12-24

Abstract


We present basic results of the theory of separating polynomials and uniformly analytic and separating functions on separable real Banach spaces. We consider basic properties of separating polynomials and uniformly analytic and separating functions. We indicate a relation between weak polynomial topology and norm topology of a space, provided it admits a separating polynomial. We present sufficient conditions for the existence of analytic and uniformly separating functions. We investigate a composition of an uniformly analytic and separating function and a linear mapping.

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How to Cite
(1)
Mytrofanov M. Separating Polynomials, Uniform Analytical and Separating Functions. Carpathian Math. Publ. 2015, 7 (2), 197-208.