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Zbl 0589.47005
Algebraically reflexive linear transformations.
(English)
[J] Linear Multilinear Algebra 14, 225-233 (1983). ISSN 0308-1087; ISSN 1563-5139/e

The author proves that if a linear map T is not locally algebraic on a vector space over an infinite field, then T is algebraic reflexive. It provides nice short cuts to main results of {\it P. A. Fillmore} [Proc. Am. Math. Soc. 41, 501-505 (1973; Zbl 0273.47004)] and {\it R. G. Douglas} and {\it C. Foiaş} [Indiana Univ. Math. J. 25, 315-320 (1976; Zbl 0326.47021)]. Some remarks and applications are also given.
[Y.Kato]
MSC 2000:
*47A15 Invariant subspaces of linear operators
47B99 Special classes of linear operators

Keywords: invariant subspace; locally algebraic; algebraic reflexive

Citations: Zbl 0273.47004; Zbl 0326.47021

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