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
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