In functional analysis and related areas of mathematics, a BK-space or Banach coordinate space is a sequence space endowed with a suitable norm to turn it into a Banach space. All BK-spaces are normable FK-spaces.[1]
Examples
editThe space of convergent sequences the space of vanishing sequences and the space of bounded sequences under the supremum norm [1]
The space of absolutely p-summable sequences with and the norm [1]
See also
edit- FK-AK space
- FK-space – Sequence space that is Fréchet
- Normed space – Vector space on which a distance is defined
- Sequence space – Vector space of infinite sequences
References
edit- ^ a b c Banas, Jozef; Mursaleen, M. (2014), Sequence Spaces and Measures of Noncompactness with Applications to Differential and Integral Equations, Springer, p. 20, ISBN 9788132218869.
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