Difference between revisions of "FK-space"
From Encyclopedia of Mathematics
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| − | A Fréchet sequence space (cf. [[Fréchet space|Fréchet space]]) such that all the coordinates | + | {{TEX|done}} |
| + | A Fréchet sequence space (cf. [[Fréchet space|Fréchet space]]) such that all the coordinates $P_n$ defined by $P_n(x)=x_n$ are continuous linear functionals (cf. [[Linear functional|Linear functional]]). (Some authors include local convexity in the definition.) | ||
An FK space that is also a [[Banach space|Banach space]] is called a BK-space. | An FK space that is also a [[Banach space|Banach space]] is called a BK-space. | ||
Latest revision as of 16:15, 19 April 2014
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