Geodesic
ORTHOGONAL DECOMPOSITIONS IN HILBERT C-MODULES AND STATIONARY PROCESSES
Acta mathematica Universitatis Comenianae, Tome 67 (1998) no. 2 
D. Popovici. ORTHOGONAL DECOMPOSITIONS IN HILBERT C-MODULES AND STATIONARY PROCESSES. Acta mathematica Universitatis Comenianae, Tome 67 (1998) no. 2. http://geodesic.mathdoc.fr/item/AMUC_1998_67_2_a0/
@article{AMUC_1998_67_2_a0,
     author = {D. Popovici},
     title = {ORTHOGONAL {DECOMPOSITIONS} {IN} {HILBERT} {C-MODULES} {AND} {STATIONARY} {PROCESSES}},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {1998},
     volume = {67},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_1998_67_2_a0/}
}
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Voir la notice de l'article provenant de la source Comenius University

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.