shrinking space


shrinking space

[¦shriŋk·iŋ ′spās] (mathematics) The conjugate space of a Banach space with basis x1, x2,…, which satisfies the property that, for any continuous linear functional ƒ, the norm of ƒ with domain restricted to the linear span of xn +1, xn +2,… approaches zero as n approaches infinity.