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math.FA2008
Non- (quantum) differentiable -functions in the spaces with trivial Boyd indices
Denis Potapov, Fyodor Sukochev
If E is a separable symmetric sequence space with trivial Boyd indices and $\cC^E$ is the corresponding ideal of compact operators, then there exists a -function , a self…
math.FA2008★ 2 cited
Spectral flow is the integral of one forms on the Banach manifold of self adjoint Fredholm operators
Alan Carey, Denis Potapov, Fyodor Sukochev
One may trace the idea that spectral flow should be given as the integral of a one form back to the 1974 Vancouver ICM address of I.M. Singer. Our main theorem gives analytic formu…