BK-space

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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[]

  1. ^ 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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