Algebraic reflexivity for semigroups of operators
The electronic journal of linear algebra, Tome 18 (2009), pp. 745-760.

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Summary: Algebraic reflexivity of sets and semigroups of linear transformations are studied in this paper. Some new examples of algebraically reflexive sets and semigroups of linear transformations are given. Using known results on algebraically orbit reflexive linear transformations, those linear transformations on a complex Banach space that are determined by their invariant subsets are characterized.
Classification : 47D05, 15A04
Keywords: semigroup of linear transformations, algebraic reflexivity
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     author = {Bra\v{c}i\v{c}, Janko},
     title = {Algebraic reflexivity for semigroups of operators},
     journal = {The electronic journal of linear algebra},
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     volume = {18},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ELA_2009__18__a4/}
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Bračič, Janko. Algebraic reflexivity for semigroups of operators. The electronic journal of linear algebra, Tome 18 (2009), pp. 745-760. http://geodesic.mathdoc.fr/item/ELA_2009__18__a4/