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Gramian Schauder Basic Measures and Gramian Uniformly Bounded Linearly Stationary Processes
- Source :
- Taiwanese J. Math. 23, no. 3 (2019), 601-623
- Publication Year :
- 2019
- Publisher :
- Mathematical Society of the Republic of China, 2019.
-
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.
- 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
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- Taiwanese J. Math. 23, no. 3 (2019), 601-623
- Accession number :
- edsair.doi.dedup.....ae5e89b954a0170a35d2a1654feed779