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.
|Journal||International Journal of Mathematics and Mathematical Sciences|
|Publication status||Published - Jan 1 2018|
ASJC Scopus subject areas
- Mathematics (miscellaneous)