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FK-space

From Encyclopedia of Mathematics
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A Fréchet sequence space (cf. Fréchet space) such that all the coordinates defined by 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