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Results tagged with fa.functional-analysis
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user 248499
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
1
vote
1
answer
132
views
Approximating linear bounded operator on $L^2([a,b])$
I have the following problem: I'm given a linear bounded operator $P\in \mathcal{L}(L^2([a,b]))$, $a,b\in \mathbb{R}$ and I want to find a sequence of approximating linear bounded operators $(P_n)_{n\ …
- 300
4
votes
1
answer
146
views
Reference request: Uniformly elliptic partial differential operator generates positivity pre...
I am looking for a reference of the following result:
Let $\Omega\subset \mathbb{R}^n$ be be a bounded domain with smooth boundary. Let
$$A = \sum_{i,j=1}^n \partial_i ( a_{ij} \partial_j) + \sum_{i=1 …
- 300
3
votes
2
answers
141
views
Lumer-Phillips-type theorem for non-autonomous evolutions
The classical Lumer-Phillips theorem characterizes the generators of contraction semigroups. I am looking for a similar characterization or at least a sufficient condition for a family of unbounded, l …
- 300
0
votes
Lumer-Phillips-type theorem for non-autonomous evolutions
As mentioned in Jochen Glueck's answer, there are results in Pazy's book and in Engel and Nagel's book on the generation of propagators. I also dug a little deeper in the literature and found results …
- 300