bio | website | maths.leeds.ac.uk/~mdaws |
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location | Leeds, UK | |
age | ||
visits | member for | 4 years, 6 months |
seen | yesterday | |
stats | profile views | 2,834 |
Apr 15 |
revised |
What is “tilting” in the context of large deviations?
Removed backticks which were messing with the formatting |
Apr 9 |
comment |
Adjoint operator of a Convex operator is convex
So that's an entirely different question... There is no obvious way to even form the adjoint when $A$ is not linear. Really you need to think about your application to get some inspiration as to what a suitable generalised definition might be... |
Apr 9 |
comment |
Adjoint operator of a Convex operator is convex
What does that even mean? We always have that both sides are just equals. |
Apr 9 |
comment |
Adjoint operator of a Convex operator is convex
But if $A$ if linear then $A(\lambda x_1+(1-\lambda)x_2) = \lambda A(x_1) + (1-\lambda)A(x_2)$ no inequality needed! |
Apr 9 |
comment |
Adjoint operator of a Convex operator is convex
Yeah, I'm confused: if $A$ is linear then don't we just have equality, always, in your defining inequality? Or is $A$ not assumed linear in the 2nd part of the question? If so, then what's the definition of the adjoint? |
Mar 29 |
awarded | Popular Question |
Mar 6 |
comment |
Can we expect $\left\||f|^{2}f-|g|^{2}g\right\|\leq C ||f-g||$ in the Banach algebra $A(\mathbb T)$ ?
Although, I must say that the whole $M=2\|f_0\|$ thing is very mysterious... |
Mar 6 |
comment |
Can we expect $\left\||f|^{2}f-|g|^{2}g\right\|\leq C ||f-g||$ in the Banach algebra $A(\mathbb T)$ ?
But that's not what the question asked: $f_0$ is fixed, this gives $M$ and then the OP specifically asks only for $f,g\in B_M$. If it was meant to be uniform, then why both with the $B_M$ condition? |
Mar 6 |
answered | Can we expect $\left\||f|^{2}f-|g|^{2}g\right\|\leq C ||f-g||$ in the Banach algebra $A(\mathbb T)$ ? |
Mar 5 |
comment |
Does anybody know if the Fourier algebra of SL(3,Z) has an approximate identity?
What do you mean by "somewhat technical partial converse"? Just Thm 1.11, namely some sort of tensoring against a group with a sufficient rich set of representations? |
Feb 13 |
awarded | Notable Question |
Nov 20 |
comment |
How a unitary corepresentation of a Hopf C*-algebra, deals with the antipode?
Okay, I'm not sure I have much deeper to say than that actually... |
Nov 20 |
comment |
How a unitary corepresentation of a Hopf C*-algebra, deals with the antipode?
Sure! But why the antipode behaves in this way is perhaps interesting (and, in some sense, forms the basis for the definition of the antipode in more complicated analytic quantum group settings). |
Nov 19 |
comment |
How a unitary corepresentation of a Hopf C*-algebra, deals with the antipode?
Yes! Maybe look at Timmermann's book, "An invitation to quantum groups and duality.", as it's an good introduction, and nicely motivates from the analytic theory from algebraic considerations. But what you ask is true for general compact quantum groups. |
Nov 18 |
comment |
Extending a $ * $-Representation of $ ({C_{c}}(G,\mathscr{A}),\star,^{*}) $ to a $ * $-Representation of $ \mathscr{A} \rtimes_{\alpha} G $
Well, I wouldn't accept! Let's hope someone comes along with some more thoughts (as I think this is a nice question!) |
Nov 18 |
comment |
Extending a $ * $-Representation of $ ({C_{c}}(G,\mathscr{A}),\star,^{*}) $ to a $ * $-Representation of $ \mathscr{A} \rtimes_{\alpha} G $
So this is definitely not an answer... just a comment that was too long for a 2comment"... |
Nov 18 |
comment |
Extending a $ * $-Representation of $ ({C_{c}}(G,\mathscr{A}),\star,^{*}) $ to a $ * $-Representation of $ \mathscr{A} \rtimes_{\alpha} G $
Yes... the point of my comment was that you cannot find such a counter-example for G discrete or compact. So I suggested you look at $\mathbb R$, this being an example I couldn't immediately see... |
Nov 17 |
revised |
Extending a $ * $-Representation of $ ({C_{c}}(G,\mathscr{A}),\star,^{*}) $ to a $ * $-Representation of $ \mathscr{A} \rtimes_{\alpha} G $
added 557 characters in body |
Nov 16 |
answered | Extending a $ * $-Representation of $ ({C_{c}}(G,\mathscr{A}),\star,^{*}) $ to a $ * $-Representation of $ \mathscr{A} \rtimes_{\alpha} G $ |
Nov 16 |
comment |
Extending a $ * $-Representation of $ ({C_{c}}(G,\mathscr{A}),\star,^{*}) $ to a $ * $-Representation of $ \mathscr{A} \rtimes_{\alpha} G $
Btw, in your definition of the product, you need to replace $a\in A$ by a group element. |