C-orbit reflexive operators

Details C-orbit reflexive operators C-orbit reflexive operators

2010-05-28

arxiv.org/abs/1005.5202v2

Mathematics

Functional Analysis

16 pages

Scientific paper

We introduce the notion of C-orbit reflexivity and study its properties. An operator on a finite-dimensional space is C-orbit reflexive if and only if the two largest blocks in its Jordan form corresponding to nonzero eigenvalues with the largest modulus differ in size by at most one. Most of the proofs of our results in infinite dimensions are obtained from purely algebraic results we obtain from linear-algebraic analogs of C-orbit reflexivity.

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