An Extension Theorem for a Sequence of Krein Space Contractions

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Abstract

Consider Krein spaces U and Y and let Hk and Kk be regular subspaces of U and Y, respectively, such that Hk⊂Hk+1 and Kk⊂Kk+1 (kϵN). For each kϵN, let Ak:Hk→Kk be a contraction. We derive necessary and sufficient conditions for the existence of a contraction B:U→Y such that B/Hk=Ak. Some interesting results are proved along the way.

Original languageEnglish
Article number5178454
JournalInternational Journal of Mathematics and Mathematical Sciences
Volume2018
DOIs
Publication statusPublished - Jan 1 2018

ASJC Scopus subject areas

  • Mathematics (miscellaneous)

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