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 -