A short constructive proof of Jordan's decomposition theorem

Details A short constructive proof of Jordan's decomposition theorem A short constructive proof of Jordan's decomposition theorem

2003-12-01

arxiv.org/abs/math/0312041v6

Mathematics

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2 pages, 3 added references

Scientific paper

Although there are many simple proofs of Jordan's decomposition theorem in
the literature (see [1], the references mentioned there, and [2]), our proof
seems to be even more elementary. In fact, all we need is the theorem on the
dimensions of rang and kernel and the existence of eigenvalues of a linear
transformation on a nontrivial finite dimensional complex vector space.

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