ACTA MATHEMATICA UNIVERSITATIS COMENIANAE

ACTA MATHEMATICA UNIVERSITATIS COMENIANAE

Vol. 67, 2 (1998)
pp. 217-230

ORTHOGONAL DECOMPOSITIONS IN HILBERT C-MODULES AND STATIONARY PROCESSES
D. POPOVICI

Abstract. It is obtained a Wold-type decomposition for an adjointable isometry on a Hilbert $ C$-module which is sequentially complete with respect to some locally convex topology, denoted by $s$. Particularly self-dual Hilbert $ C$-modules satisfy this condition. Finally, as an application we shall give a new proof of the Wold decomposition theorem for discrete stationary processes in complete correlated actions.

AMS subject classification. 46L10; Secondary 60G15
Keywords. Hilbert $ C$-modules, Wold decomposition, stationary processes in complete correlated actions

Download: Adobe PDF

Compressed Postscript

Acta Mathematica Universitatis Comenianae
Institute of Applied Mathematics
Faculty of Mathematics, Physics and Informatics
Comenius University
842 48 Bratislava, Slovak Republic
Telephone: + 421-2-60295111 Fax: + 421-2-65425882
e-Mail: amuc@fmph.uniba.sk Internet: www.iam.fmph.uniba.sk/amuc