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Results tagged with fa.functional-analysis
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user 56553
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
5
votes
0
answers
137
views
Is there a discrete Schrödinger operator with empty spectrum?
A relatively well-known example of (continuous) Schrödinger operator with empty spectrum is the complex Airy operator on the line, i.e., the operator acting on $L^{2}(\mathbb{R})$ given by the differe …
- 2,188
2
votes
Accepted
The norm of a Finite Hilbert matrix
I think the answer is no, indeed. Even in the particular case $p=2$ the formula is not known (to my best knowledge). Concerning $\|H\|_{2}$, is known $\|H\|_{2}\leq\pi$. More precisely, we have the fo …
- 2,188
1
vote
How to diagonalize this tridiagonal difference operator with unbounded coefficients?
You can find a hint in this article, where a tridiagonal operator with similar properties is diagonalized.
- 2,188