Minimal projection onto certain subspace of Lp(X×Y×Z). (3rd October 2018)

• Record Type: Journal Article
• Authors: Kozdęba, Michał
• Is Part Of: Numerical functional analysis and optimization. Volume 39:Number 13(2018)
• Page Start: 1407
• Page End: 1422
• Publication Date: 2018-10-03
• Subjects: Groups of isometries -- minimal projection -- Rudin's Theorem; 43A07 -- 46E30 -- 47D03; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2018.1479716
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: Let X, Y, Z be Banach spaces. We show a formula for a minimal projection fromS = L p ( X × Y × Z ) ontoT = L p ( X × Y ) + L p ( X × Z ) + L p ( Y × Z ) . It is a generalization of a result of Cheney and Light who showed a formula for a minimal projection fromS = L p ( X × Y ) ontoT = L p ( X ) + L p ( Y ) .