15 research outputs found
On unbounded p-summable Fredholm modules
We prove that odd unbounded p-summable Fredholm modules are also bounded
p-summable Fredholm modules (this is the odd counterpart of a result of A.
Connes for the case of even Fredholm modules)
A multidimensional solution to additive homological equations
In this paper we prove that for a finite-dimensional real normed space , every bounded mean zero function can be written in the form
for some and some ergodic invertible measure preserving transformation of .
Our method moreover allows us to choose , for any given , to be such that , where is the Steinitz constant corresponding to
A solution to the multidimensional additive homological equation
We prove that, for a finite-dimensional real normed space V, every bounded mean zero function f ā Lā([0, 1]; V) can be written in the form f = g ā¦ T ā g for some g ā Lā([0, 1]; V) and some ergodic invertible measure preserving transformation T of [0, 1]. Our method moreover allows us to choose g, for any given Īµ > 0, to be such that ā„gā„ā ā©½ (SV + Īµ)ā„fā„ā, where SV is the Steinitz constant corresponding to V
A multidimensional solution to additive homological equations
In this paper we prove that for a finite-dimensional real normed space , every bounded mean zero function can be written in the form
for some and some ergodic invertible measure preserving transformation of .
Our method moreover allows us to choose , for any given , to be such that , where is the Steinitz constant corresponding to