TY - JOUR
T1 - An Extension Theorem for a Sequence of Krein Space Contractions
AU - Wanjala, Gerald
N1 - Publisher Copyright:
© 2018 Gerald Wanjala.
PY - 2018
Y1 - 2018
N2 - 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.
AB - 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.
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U2 - 10.1155/2018/5178454
DO - 10.1155/2018/5178454
M3 - Article
AN - SCOPUS:85044104770
SN - 0161-1712
VL - 2018
JO - International Journal of Mathematics and Mathematical Sciences
JF - International Journal of Mathematics and Mathematical Sciences
M1 - 5178454
ER -