We provide three new examples of twisted Hilbert spaces by considering properties that are "close" to Hilbert. denote them \(Z(\mathcal J)\), S^2)\) and T_s^2)\). The first space is asymptotically Hilbertian but not weak On the opposite side, T_s^2)\) Hilbertian. Moreover, a HAPpy technique prove it gives "twisted" version theorem Johnson Szankowski (Ann. Math. 176:1987-2001, 2012). This is, we...

When considering the problem of forecasting a continuous-time stochastic process over an entire time-interval in terms of its recent past, the notion of Autoregressive Hilbert space processes (arh) arises. This model can be seen as a generalization of the classical autoregressive processes to Hilbert space valued random variables. Its estimation presents several challenges that were addressed b...

The invention of non-Euclidean geometries is often seen through the optics of Hilbertian formal axiomatic method developed later in the 19th century. However such an anachronistic approach fails to provide a sound reading of Lobachevsky’s geometrical works. Although the modern notion of model of a given theory has a counterpart in Lobachevsky’s writings its role in Lobachevsky’s geometrical the...