Literatur
М. Г. Крейн-М. А. Красносельский Усчйчиуость индекса неограниченного оператора Матем. сборник30, (72) (1952), pp. 219–224.
Ф. В. Аткинсн, Нормальная разрешимость линейних уравнений в нормированньIх пространствах, Матем. сбоник,28 (70) (1951), pp. 3–14.
See for instanceF. Riesz-B. Sz,-Nagy,Leçons d'Analyse fonctionnelle (Budapest, 1952), pp. 176–185, 214–216.
To be exact, he has considered only the case whenE′=E, but, as one easily checks, his proofs run also whenE′≠E.
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Sz.-Nagy, B. On the stability of the index of unbounded linear transformations. Acta Mathematica Academiae Scientiarum Hungaricae 3, 49–52 (1952). https://doi.org/10.1007/BF02146068
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DOI: https://doi.org/10.1007/BF02146068