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	Uncorrelatedness and orthogonality for vector-valued processes
	Loeb, PA ; Osswald, H ; Sun, YN ; Zhang, ZX
	2004
关键词	vector-valued processes Loeb product space Keisler&apos orthogonality uncorrelatedness multilinear functional MEASURE-SPACES NONSTANDARD s Fubini theorem
英文摘要	For a square integrable vector-valued process f on the Loeb product space, it is shown that vector orthogonality is almost equivalent to componentwise scalar orthogonality. Various characterizations of almost sure uncorrelatedness for f are presented. The process f is also related to multilinear forms on the target Hilbert space. Finally, a general structure result for f involving the biorthogonal representation for the conditional expectation of f with respect to the usual product sigma-algebra is presented.; Mathematics; SCI(E); 0; ARTICLE; 8; 3209-3225; 356
语种	英语
出处	SCI
出版者	transactions of the american mathematical society
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/400596]
专题	数学科学学院
推荐引用方式 GB/T 7714	Loeb, PA,Osswald, H,Sun, YN,et al. Uncorrelatedness and orthogonality for vector-valued processes. 2004-01-01.

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