An Extension Theorem for a Sequence of Krein Space Contractions

Gerald Wanjala

doi:10.1155/2018/5178454

An Extension Theorem for a Sequence of Krein Space Contractions

Gerald Wanjala^*

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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

Original language	English
Article number	5178454
Journal	International Journal of Mathematics and Mathematical Sciences
Volume	2018
DOIs	https://doi.org/10.1155/2018/5178454
Publication status	Published - 2018

ASJC Scopus subject areas

Mathematics (miscellaneous)

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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.",

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An Extension Theorem for a Sequence of Krein Space Contractions

Abstract

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