Infinite-Dimensional Triangularization

@article{Mesyan2016InfiniteDimensionalT,
  title={Infinite-Dimensional Triangularization},
  author={Zachary Mesyan},
  journal={Journal of Pure and Applied Algebra},
  year={2016},
  volume={222},
  pages={1529-1547}
}
  • Zachary Mesyan
  • Published 2016
  • Mathematics
  • Journal of Pure and Applied Algebra
  • Abstract The goal of this paper is to generalize the theory of triangularizing matrices to linear transformations of an arbitrary vector space, without placing any restrictions on the dimension of the space or on the base field. We define a transformation T of a vector space V to be triangularizable if V has a well-ordered basis such that T sends each vector in that basis to the subspace spanned by basis vectors no greater than it. We then show that the following conditions (among others) are… CONTINUE READING

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