The notion of partial fidelities as invented recently by A.Uhlmann for pairs of finite dimensional density matrices will be extended to the vNalgebraic context and is considered and thoroughly discussed in detail from a mathematical point of view. Especially, in the case of semifinite vN-algebras formulae and estimates for the partial fidelity between the functionals of a dense cone of inner de...

Abstract Invertible disformal transformations are a useful tool to investigate ghost-free scalar–tensor theories. By performing higher-derivative generalization of the invertible transformation on Horndeski theories, we construct novel class which dub generalized Specifically, these theories lie beyond quadratic/cubic DHOST class. We explore cosmological perturbations identify subclass where gr...

A notion of inverse commands is deened for a language with a weakest precondition semantics, permitting both demonic and angelic nondeterminism as well as miracles and nontermination. Every conjunctive and terminating command is invertible, the inverse being non-miraculous and disjunctive. A simulation relation between commands is described using inverse commands. A generalized form of inverse ...

Prandtl-Ishlinskii (P-I) model is one of the powerful operator-based phenomenological models which is used in modeling complex hysteretic nonlinear behavior in piezoelectric, piezoceramic, magnetostrictive and shape memory alloy actuators. The most appealing and unique aspect of the Prandtl-Ishlinskii model comes back to this fact that this model is analytically invertible and therefore could b...

Fix 0<r<1. The dilation theory for the quantum annulus QAr, consisting of those invertible Hilbert space operators T satisfying ‖T‖,‖T−1‖≤r−1, is determined. proof technique involves a geometric approach to that applies other well known theorems. compared, and contrasted, with canonical operator annuli.

in this paper we obtain lower and upper estimates for the essential norms of generalized composition operators from weighted dirichlet spaces or bloch type spaces to $q_k$ type spaces.

einstein, möbius, and proper velocity gyrogroups are relativistic gyrogroups that appear as three different realizations of the proper lorentz group in the real minkowski space-time $bbb{r}^n$. using the gyrolanguage we study their gyroharmonic analysis. although there is an algebraic gyroisomorphism between the three models we show that there are some differences between them. our study focus ...

Abstract A Hilbert space operator is said to be core invertible if it has an inner inverse whose range coincides with the of and null adjoint . This notion was introduced by Baksalary, Trenkler, Rakić, Dinčić, Djordjević in last decade, who also proved that invertibility equivalent group inverses coincide only a so-called EP operator. The present paper contains criteria for property as well for...