BK-space
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[]
- the space of convergent sequences , the and the space of bounded sequences under the supremum norm [1]
- the space of absolutely p-summable sequences with and the norm [1]
References[]
- ^ 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.
Categories:
- Mathematical analysis stubs
- Banach spaces