Contractive projections and conditional expectations

N. Dinculeanu and M. M. Rao

Journal of Multivariate Analysis, 1972, vol. 2, issue 4, 362-381

Abstract: If ([Omega], [Sigma], [mu]) is a general measure space, where [Sigma] is a [delta]-ring, let Lp([Sigma]) be the corresponding Lebesgue space. One of the authors has defined and studied the properties of the (generalized) conditional expectation E[Lambda] on Lp([Sigma]) relative to a [delta]-ring [Lambda] [subset of] [Sigma] which reduces to the classical case when these [delta]-rings are [sigma]-algebras and [mu] is finite (cf. N. Dinculeanu, J. Multivariate Anal., 1 1971, 347-364). In this paper contractive projections on the space Lp([Sigma]), 1

Keywords: Contractive; projections; averaging; operators; conditional; expectations; [delta]-rings; measurable; subspaces (search for similar items in EconPapers)
Date: 1972
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