# Infinite-dimensional triangularizable algebras

@article{Mesyan2018InfinitedimensionalTA, title={Infinite-dimensional triangularizable algebras}, author={Zachary Mesyan}, journal={Forum Mathematicum}, year={2018}, volume={31}, pages={19 - 33} }

Abstract Let End k ( V ) {\mathrm{End}_{k}(V)} denote the ring of all linear transformations of an arbitrary k-vector space V over a field k. We define X ⊆ End k ( V ) {X\subseteq\mathrm{End}_{k}(V)} to be triangularizable if V has a well-ordered basis such that X sends each vector in that basis to the subspace spanned by basis vectors no greater than it. We then show that an arbitrary subset of End k ( V ) {\mathrm{End}_{k}(V)} is strictly triangularizable (defined in the obvious way) if… CONTINUE READING

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##### Publications referenced by this paper.

SHOWING 1-10 OF 19 REFERENCES

Homozygous disruption of the murine MDR2 P-glycoprotein gene leads to a complete absence of phospholipid from bile and to liver disease

- Medicine, Biology
- 1993

1015

Efficacy and safety of protein supplements for U.S. Armed Forces personnel: consensus statement.

- Medicine
- 2013

35

Über nilpotente Unterringe,Math

- 1931

Simultaneous Triangularization

- 2000

Turovskii, Volterra Semigroups Have Invariant Subspaces

- 1999