# FK-space

From Encyclopedia of Mathematics

A Fréchet sequence space (cf. Fréchet space) such that all the coordinates $P_n$ defined by $P_n(x)=x_n$ are continuous linear functionals (cf. Linear functional). (Some authors include local convexity in the definition.)

An FK space that is also a Banach space is called a BK-space.

**How to Cite This Entry:**

FK-space.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=FK-space&oldid=31875

This article was adapted from an original article by E. Malkowsky (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article