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1. Gramian Schauder Basic Measures and Gramian Uniformly Bounded Linearly Stationary Processes

Author

Yûichirô Kakihara

Subjects
Pure mathematics, $\xi$-integrable, General Mathematics, pseudo Radon-Nikodým derivative, Measure (mathematics), Dunford-Schwartz integrable, 28B05, Uniform boundedness, gramian uniformly bounded linearly stationary process, normal Hilbert $B(H)$-module, Equivalence (measure theory), gramian Schauder basic measure, 60G10, Mathematics, Gramian matrix
Abstract

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.

Published
2019

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