Conditions for the spatial flatness and spatial injectivity of an indecomposable CSL algebra of finite width

Mathematical Notes

Volumn 63, Issue 1, 1996, Pages 9-18

  Golovin, Yu O ^a  

^a Moscow Institute of Radiotechnics Electronics and Automation   (Russian Federation)

Author keywords

Cohomology group; CSL algebra; Flat module; Injective module; Invariant subspace; Lattice of subspaces; Nest algebra; Operator algebra; Reflexive algebra; Von neumann algebra

Indexed keywords

EID: 0347217458     PISSN: 00014346     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02316138     Document Type: Article

References (2)

1. Yu. O. Golovin, "Homological properties of Hilbert modules over nested operator algebras," Mat. Zametki [Math. Notes], 41, No. 6, 769-775 (1987).
2. Yu. O. Golovin, "A criterion for the spatial projectivity of an indecomposable CSL operator algebra," Uspekhi Mat. Nauk [Russian Math. Surveys], 49, No. 4, 161-162 (1994).