A weak–type orthogonality principle

A Weak–type Orthogonality Principle

We are interested in the relationships between three different concepts, first and foremost is that of the phase space, by which we generally mean the Euclidean space formed from the cross product of the spatial variable with the dual frequency variable. Next, we want to associate subsets of that space with functions, the subset describing the location of the function in natural ways. And final...

Enhancing Fuzzy Controllers Using Generalized Orthogonality Principle

Local orthogonality as a multipartite principle for quantum correlations.

In recent years, the use of information principles to understand quantum correlations has been very successful. Unfortunately, all principles considered so far have a bipartite formulation, but intrinsically multipartite principles, yet to be discovered, are necessary for reproducing quantum correlations. Here we introduce local orthogonality, an intrinsically multipartite principle stating tha...

Application of orthogonality principle to Endochronic and Mróz models

A new description of Endochronic and Mróz model is discussed. It is based on the definition of a suitable pseudo-potential and the use of generalized normality assumption. The key-point of this formulation is the dependence of the pseudopotentials on state variables.

A characterization of orthogonality preserving operators

‎In this paper‎, ‎we characterize the class of orthogonality preserving operators on an infinite-dimensional Hilbert space $H$ as scalar multiples of unitary operators between $H$ and some closed subspaces of $H$‎. ‎We show that any circle (centered at the origin) is the spectrum of an orthogonality preserving operator‎. ‎Also‎, ‎we prove that every compact normal operator is a strongly orthogo...