A decomposition of reducing subspace for shift operators

DOI10.2748/tmj/1178229001zbMath0507.47002OpenAlexW2067657086MaRDI QIDQ1837380

Shinzô Kawamura

Publication date: 1983

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178229001

zbMATH Keywords

von Neumann algebrainvariant subspaceshift operatorsreducing subspacecrossed product of a factor

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Invariant subspaces of linear operators (47A15) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37)

Cites Work

• The multiplicity functions of invariant subspaces for non selfadjoint crossed products
• Invariant subspaces of shift operators of arbitrary multiplicity
• The Hardy spaces associated with a periodic flow on a von Neumann algebra
• On two problems concerning linear transformations in Hilbert space
• Shifts on Hilbert spaces.
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