The Stack Overflow podcast is back! Listen to an interview with our new CEO.

Questions tagged [functional-analysis]

The tag has no usage guidance.

Filter by
Sorted by
Tagged with
3
votes
1answer
69 views

Who first proved that the spectrum of an operator is contained in the closure of its numerical range?

We have recently proven in our functional analysis II lecture that the spectrum of an operator is contained in the closure of its numerical range. On the German wikipedia page for the numerical radius ...
3
votes
0answers
51 views

Asymptotically Periodic Potentials

Who came up with the idea of solving elliptic equations with periodic potentials and from there solving elliptic equations with asymptotically periodic potentials? I heard it was Pierre Louis Lions, ...
4
votes
1answer
123 views

Who proved the monotone convergence theorem for the Lebesgue integral?

The theorem often be called Lebesgue's MCT or Levi's theorem. Who did originally prove it or what is the contribution of Lebesgue and Levi respectively?
1
vote
1answer
83 views

What was Lipschitz's original motivation for the introduction of Lipschitz continuity?

The concept of Lipschitz continuous mappings is probably at the present time the most important mathematical concept associated with Lipschitz's name. These mappings play an important role in the ...
2
votes
1answer
91 views

Who posed the separable quotient problem (and when)?

The (infinte dimensional) separable quotient problem asks whether every infinite dimensional Banach space has a separable infinite dimensional quotient. In the literature I have seen that is problem ...