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Just when I thought I was out, they pull me back in


1d
reviewed Leave Open Connection between the Hodge laplacian and the Laplace operator
1d
comment Circle method on things other than the integers
What other subsets do you have in mind?
1d
reviewed Close Example of an infinite index subgroup of a non-amenable group whose normalizer is of non-zero finite index, and such that the Schreier graph is of subexponential growth
1d
reviewed Close Information geometry divergence
1d
reviewed Close How to find a matrix by its characteristic value and characteristic vectors?
2d
reviewed Leave Closed Beautiful constructions in algebraic topology that facilitate one's understanding of homotopy theory
2d
reviewed Leave Open Suppose I know $\int h(t) dt = H(t)$, is there a way to find $\int h(t)^N dt$?
2d
reviewed Close Gradient Estimation Using Bicubic Interpolation and Finite Differences
2d
reviewed Leave Closed Algebraic Geometry for non-mathematician
2d
reviewed Leave Open Variety of commutative semi group
2d
comment $f, \hat{f} \in L^{p}\cap L^{\infty} \implies f\in B(\mathbb R)$ (algebra of Fourier- Stieltjes transforms )?
My first instinct is to try and disprove this indirectly by using a Closed Graph Theorem / Open Mapping Theorem argument, similar to the known standard proof that the Fourier transform is not a surjection from $L^1({\bf R})$ onto $C_0({\bf R})$. In other words, rather than look for an explicit counter-example, try to prove that the norms don't match
Apr
14
reviewed Leave Closed Books and papers on differential equation method
Apr
13
comment Is this Hankel matrix in trace class
If you are not answering Tao Mei's question, but instead are just answering your own version of the question, and if you do not know what the trace class norm is, then you should not be trying to answer this question, and this is why your "answers" are always deleted.
Apr
13
reviewed Close Books and papers on differential equation method
Apr
13
comment Is this Hankel matrix in trace class
Moreover, even if you were taking the sum of the absolute values of the matrix entries (which, as I keep saying, might not be the same as the trace class norm of the matrix) then the quantity you want is $\sum_{n=1}^\infty n \Gamma_{1,n-1}$, so you do not get the kind of telescoping that you have claimed in your repeated attempts to answer this question.
Apr
13
comment Is this Hankel matrix in trace class
But this still does not help to compute the trace-class norm, which is in general not just a simple function of the absolute values of the entries. See en.wikipedia.org/wiki/Trace_class
Apr
13
comment Is this Hankel matrix in trace class
You keep repeating this, despite the fact that what you write down is not the trace-class norm of the given matrix. To see why, please look up the definition of trace-class norm.
Apr
12
reviewed Close Homotopy equivalent type of a knot complement
Apr
11
reviewed Close Rotation orientations in n-dimensions
Apr
10
reviewed Leave Closed A geometric optimization problem: is this non-convex?