Editing Reflexive space (section)

=== Remark ===

A Banach space <math>X</math> is reflexive if it is linearly isometric to its bidual under this canonical embedding <math>J.</math> [[James' space]] is an example of a non-reflexive space which is linearly isometric to its [[Dual space#Double dual|bidual]]. Furthermore, the image of James' space under the canonical embedding <math>J</math> has [[codimension]] one in its bidual.
<ref>{{cite journal|author=Robert C. James |author-link=Robert C. James |title=A non-reflexive Banach space isometric with its second conjugate space|journal=Proc. Natl. Acad. Sci. U.S.A.|volume=37|pages=174–177|year=1951|issue=3|doi=10.1073/pnas.37.3.174|pmc=1063327|pmid=16588998|bibcode=1951PNAS...37..174J|doi-access=free}}</ref>
A Banach space <math>X</math> is called '''quasi-reflexive''' (of order <math>d</math>) if the quotient <math>X^{\prime\prime} / J(X)</math> has finite dimension <math>d.</math>