174 reputation
7
bio website poisson.phc.unipi.it/~lucia
location Madrid, Spain
age 26
visits member for 3 years, 3 months
seen Nov 11 at 16:17

Math PhD student at Universidad Complutense de Madrid, working on Quantum Information and Quantum Dissipative Systems.


Apr
8
answered Meaning of representation
Apr
4
comment Expanding information capacity of Gaussian Channel
Could you please clarify your notation? I suppose $I(\cdot; \cdot)$ is the mutual information, and $h(\cdot)$ is the Shannon entropy, right? Also, what are $X$, $Y$ and $Z$?
Apr
4
revised Weak star limit
language and notation
Apr
4
comment Weak star limit
Sorry, I do not understand your question: what is $k$ in your definition? You defined $A^\epsilon$, what is $A_n$? (Is this homework?)
Apr
4
suggested suggested edit on Weak star limit
Apr
3
comment Exercise Functional Analysis
Also, you should really have a look at en.wikipedia.org/wiki/Derivation_(abstract_algebra)
Apr
3
awarded  Commentator
Apr
3
comment Exercise Functional Analysis
It seems to me that if you define an arbitrary value for $\mathcal O(x)$, then you can extend the operator uniquely to polynomials (and then by density to differentiable functions).
Oct
20
comment Positivity of the anti-commutator of two positive operators implies commutativity?
Yes, indeed. The reason I was expecting them to commute is that if we call $P_B$ the ortogonal projector onto the kernel of $B$, then the fact that $\{ A, B \} \ge 0$ do imply that $A$ commutes with $P_B$. (in your example, this is trivial, but is not in general)
Oct
19
comment Positivity of the anti-commutator of two positive operators implies commutativity?
Nice! I was pretty convinced that it was true.
Oct
19
accepted Positivity of the anti-commutator of two positive operators implies commutativity?
Oct
19
revised Positivity of the anti-commutator of two positive operators implies commutativity?
just reformulating in proper English
Oct
19
comment Positivity of the anti-commutator of two positive operators implies commutativity?
In your examples $A$ and $B$ are not Hermitian, and thus not positive, at least under one definition of positivity. Which is probably the most common. Where you thinking of the generalization of positivity for non hermitian matrices?
Oct
19
asked Positivity of the anti-commutator of two positive operators implies commutativity?
Apr
23
accepted Laplace transform with (real) compact support
Apr
18
asked Laplace transform with (real) compact support
Aug
30
comment Functional from $(0,+\infty)$ to $L^p(\mathbb R)$
It's ok: it was probably the only possible interpretation, and in fact looks like nobody misunderstood what you meant.
Aug
29
comment Functional from $(0,+\infty)$ to $L^p(\mathbb R)$
I am trying to understand how $f^r$ is defined: maybe you wanted to say that for every $r \in (0, \infty)$, $f^r$ is in $L^p(\mathbb{R})$. That's different from saying that for every $r$ we have $f^r : (0,\infty) \to L^p(\mathbb{R})$.
Aug
26
accepted Positive functionals on $\ell^\infty$
Aug
24
revised Positive functionals on $\ell^\infty$
feel free to use AC