Contractive projections with contractive complement in Lp space

Charles Byrne and Francis E. Sullivan

Journal of Multivariate Analysis, 1972, vol. 2, issue 1, 1-13

Abstract: Using the concepts of conditional expectation and independence of subalgebras, we characterize those contractive projections, P, on Lp, over a probability measure space, having the property that I - P is contractive. By contractive projection we mean a linear operator, P, on the Lebesgue space, Lp, 1

Keywords: Conditional; expectation; contractive; projection; cycle; subspaces; of; Lp; independence; of; sub-; [sigma]-algebras; regular; set; isomorphisms; mean; ergodic; theorem; martingale (search for similar items in EconPapers)
Date: 1972
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/0047-259X(72)90009-7
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:jmvana:v:2:y:1972:i:1:p:1-13

Ordering information: This journal article can be ordered from
http://www.elsevier.com/wps/find/supportfaq.cws_home/regional
https://shop.elsevie ... _01_ooc_1&version=01

Access Statistics for this article

Journal of Multivariate Analysis is currently edited by de Leeuw, J.

More articles in Journal of Multivariate Analysis from Elsevier
Bibliographic data for series maintained by Catherine Liu ().