A linear and continuous operator between Banach spaces is said to be absolutely summing if it maps unconditionally convergent series into absolutely convergent series. Moreover, it improves properties of stochastic processes. Indeed, N.Ghoussoub in [7] proved that an operator is absolutely summing if and only if it maps amarts (asymptotic martingales) into uniform amarts. In this paper we go a ...

We study the $\tau^- \to \nu_{\tau} \pi^{-}\pi^{0}\ell^{+}\ell^{-}$ ($\ell=e,\,\mu$) decays, which are $O(\alpha^2)$-suppressed with respect to dominant di-pion tau decay channel. Both inner-bremsstrahlung and structure- (and model-)dependent contributions considered. In $\ell=e$ case, structure-dependent effects $\mathcal{O}(1\%)$ in rate, yielding a clean prediction of its branching ratio, $2...

ABSTRACT Some measurable characteristic time-scales {ttrn} of transiting exoplanets are investigated in order to check preliminarily if their cumulative shifts over the years induced by post-Newtonian (pN) gravitoelectric (Schwarzschild) and gravitomagnetic (Lense–Thirring) components stellar gravitational field are, at least principle, measurable. Both primary (planet front star) secondary beh...

Given a tau-function $\tau(t)$ of the BKP hierarchy satisfying $\tau(0)=1$, we discuss relation between its BKP-affine coordinates on isotropic Sato Grassmannian and BKP-wave function. Using this result, formulate type Kac-Schwarz operators for in terms coordinates. As an example, compute affine spin single Hurwitz numbers with completed cycles, find pair $(P,Q)$ $[P,Q]=1$. By doing this, obtai...

We give a complete description of ring isomorphisms between algebras measurable operators affiliated with von Neumann type II$_1.$

We present complete axiomatizations of weak hypercongruence in the nite fragment of the fusion calculus, an extension and simpliication of the-calculus. We treat both the full fusion calculus and the subcalculus without mismatch operators. The axiomatizations are obtained from the laws for hyperequivalence and adding so called tau-laws. These are similar to the well known tau-laws for CCS and t...