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Norm closures of orbits of bounded operators
group action closure of orbit index of operator Fredholm operators semi-Fredholm operators closed range operators
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2011/8/29
Abstract: To every bounded linear operator $A$ between Hilbert spaces $\mathcal{H}$ and $\mathcal{K}$ three cardinals $\iota_r(A)$, $\iota_i(A)$ and $\iota_f(A)$ and a binary number $\iota_b(A)$ are a...
An inverse theorem for the Gowers $U^{s+1}[N]$-norm
inverse theorem Gowers $U^{s+1}[N]$-norm
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2010/12/9
We prove the inverse conjecture for the Gowers Us+1[N]-norm for all s > 3; this is new for s > 3, and the cases s < 3 have also been previously established. More precisely, we establish that if f : [N...