Wold decomposition in Banach spaces

DOI10.1134/S0001434607110259zbMath1159.46012OpenAlexW2043355647MaRDI QIDQ941917

Aleksandr V. Romanov

Publication date: 2 September 2008

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434607110259

zbMATH Keywords

Hilbert spaceBanach spaceunitary operatororthogonal decompositionWold decompositionBirkhoff orthogonalityone-sided shiftorthogonal linear projection

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Linear operators on function spaces (general) (47B38) Hilbert subspaces (= operator ranges); complementation (Aronszajn, de Branges, etc.) (46C07)

Cites Work

• On abstract mean ergodic theorems
• Commutants of shifts on Banach spaces
• Projections in certain Banach spaces
• A Linear Mapping Between Function Spaces
• On Extreme Averaging Operators
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