MATHEMATICS

On the general form of a uniformly continuous functional defined on the $C_p$-space

A. V. Arbit

Tomsk State Pedagogical University

Abstract: The general form of a uniformly continuous functional defined on the space of continuous real-valued functions with the topology of pointwise convergence is described.

Keywords: uniformly continuous functions, function spaces, topology of pointwise convergence.

UDC: 515.122.55+515.123.4

Received: 19.04.2012