Abstract
Let M be the normed linear space whose general element,
x, is a bounded sequenceof real numbers, and ‖x‖ = l.u.b. |ξn|. Let T denote the linear operation (of norm 1)
defined by Tx = (ξ2, ξ3, … , ξn+1,…). A generalized limit is a
linear functional ϕ on M which satisfies
the conditions.
Publisher
Canadian Mathematical Society
Cited by
20 articles.
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