Hostname: page-component-cd9895bd7-hc48f Total loading time: 0 Render date: 2024-12-27T12:04:34.230Z Has data issue: false hasContentIssue false
  • English
  • Français

A Note on Reductive Operators

Published online by Cambridge University Press:  20 November 2018

P. A. Fillmore
P. A. Fillmore*
Affiliation:
Dalhousie University Halifax Nova ScotiaB3H 3J5
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

For a bounded linear operator T on a Hilbert space , denote by Lat0T the lattice of all linear submanifolds of such that , and by (resp. Lat T) the sublattice consisting of operator ranges (resp. closed subspaces).

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 22 , Issue 1 , 01 March 1979 , pp. 101 - 102
Copyright
Copyright © Canadian Mathematical Society 1979

References

1. Azoff, E. A. and Gilfeather, F., Measurable choice and the invariant subspace problem, Bull. Amer. Math. Soc. 80 (1974) 893-895.Google Scholar
2. Douglas, R. G. and Foias, C., Infinite dimensional versions of a theorem of Brickman-Fillmore, Indiana University Math. J. 25 (1976) 315-320.Google Scholar
3. Dyer, J. A., Pedersen, E. A., and Porcelli, P., An equivalent formulation of the invariant subspace conjecture, Bull. Amer. Math. Soc. 78 (1972) 1020-1023.Google Scholar
4. Fillmore, P. A., On invariant linear manifolds, Proc. Amer. Math. Soc. 41 (1973) 501-505.Google Scholar
5. Halmos, P. R., Capacity in Banach algebras, Indiana Univ. Math. J. 20 (1971) 855-863.Google Scholar