Open Access Open Access  Restricted Access Subscription Access

Canonical Development of second order Banach-valued random element

Benchikh Tawfik, Mankour Khadidja

Abstract



From the spectral decomposition of the covariance operator of Banach-valued random element, the canonical development is given for second order E-valued random elements. As a particular case we improve some well known results ((Weron, 1976), (Tarieladze, 1980),(Vakhania, 1993), (Baker and McKeague, 1981)). The spectral decomposition yields us to propose an algorithm of orthogonal weak expansion of Banach-valued random elements.

Keywords


anach space, random element, Covariance operators, Nuclear operators, Gaussian Banach-valued random elements, Spectral decomposition.

Full Text:

PDF


Disclaimer/Regarding indexing issue:

We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information.