For a normal Hilbert $B(H)$-module $X$ gramian Schauder basic $X$-valued measures are considered. Some equivalence conditions are given for an $X$-valued measure to be gramian Schauder basic. As an application gramian uniformly bounded linearly stationary $X$-valued processes are characterized.
"Gramian Schauder Basic Measures and Gramian Uniformly Bounded Linearly Stationary Processes." Taiwanese J. Math. 23 (3) 601 - 623, June, 2019. https://doi.org/10.11650/tjm/180704