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FK-space

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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://www.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