Complete Space and Conjugate Space of a Normed Space
88 Citations•2006•
Xiang Yang-jie
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Abstract
It is provedthat the normedlinear spaceR∞imcomplete,R∞={(an)|an∈R,{an} being a real boundedsequence,‖(an)‖ =snu≥p1λn|an|}.Its complete space are conjugate space are given,andthe sufficient or neces-sary conditions are obtainedfor a linear operator fromRtoRto be continuous.