Anyone know about the history of the word "spectrum" in mathematics?

There are three uses of the word spectrum that I am interested in, all related to each other.

1. Atomic spectrum: the specific frequencies of light that an atom will radiate when stimulated

2. The spectrum of a linear operator T: the set of complex numbers e for which the operator T - eI is not invertible, where I is the identity

3. The prime (maximal) ideal spectrum of a commutative ring R: the collection of prime (maximal) ideals of R, equipped with the Zarisky topology

I want to know who invented each of these uses of the word spectrum, when they did it, and whether or not they were conscious of the other uses.

It would seem like too much of a coincidence for three different people to independently come up with the same word, given how closely (and yet surprisingly) related the three ideas above are. One of the most convincing early accomplishments of quantum mechanics was to show that the spectrum of an atom (first use) can be computed abstractly as the spectrum of a self-adjoint linear operator on Hilbert space (second use). Moreover, one of the most fundamental results in the theory of operator algebras is that the the spectrum of a linear operator on a Banach space (second use) is the same as the maximal ideal spectrum of the commutative C*-algebra generated by that operator (third use).

That is why I think there must be some interesting history going on here. If anybody knows about any piece of it, please let me know.