Samiksha Jaiswal (Editor)

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.

Examples

  • the space of convergent sequences c , the space of null sequences c 0 and the space of bounded sequences l ∞ under the supremum norm ∥ ⋅ ∥ ∞
  • the space of absolutely p-summable sequences l p with p ≥ 1 and the norm ∥ ⋅ ∥ p

    • References

    BK-space Wikipedia
    (Text) CC BY-SA