Please use this identifier to cite or link to this item:
|Title:||Uncorrelatedness and orthogonality for vector-valued processes|
|Keywords:||Keisler's pubini theorem|
Loeb product space
|Citation:||Loeb, P.A., Osswald, H., Sun, Y., Zhang, Z. (2004-08). Uncorrelatedness and orthogonality for vector-valued processes. Transactions of the American Mathematical Society 356 (8) : 3209-3225. ScholarBank@NUS Repository. https://doi.org/10.1090/S0002-9947-03-03450-0|
|Abstract:||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 σ-algebra is presented.|
|Source Title:||Transactions of the American Mathematical Society|
|Appears in Collections:||Staff Publications|
Show full item record
Files in This Item:
There are no files associated with this item.
checked on Jul 13, 2018
WEB OF SCIENCETM
checked on Jun 11, 2018
checked on May 11, 2018
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.