We give a characterization of all the unitarily invariant norms on finite von Neumann algebra acting separable Hilbert space. The is analogous to Neumann’s for $$n\times n$$ complex matrices and in Fang et al. (J Funct Anal 255(1):142–183, 2008) $$II_{1}$$ factors.

The extended conformal algebra so(2, 3) of global, quantum, constants of motion in 2+1 dimensional gravity with topology R × T 2 and negative cosmological constant is reviewed. It is shown that the 10 global constants form a complete set by expressing them in terms of two commuting spinors and the Dirac γ matrices. The spinor components are the globally constant holonomy parameters, and their r...

1. the use of weighted norms as a measure of the data perturbation size, capturing prior knowledge about uncertainty in the data; 2. the addition of constraints on the perturbation to preserve the structure of the data matrix, motivated by structured data matrices occurring in signal and image processing, systems and control, and computer algebra; 3. the use of regularization in the problem for...

The rational Cherednik algebra H is a certain algebra of differential-reflection operators attached to a complex reflection group. There is a category O of modules for this algebra which is a highest weight category. For the infinite family G(r, p, n) of complex reflection groups, the algebra H contains a subalgebra isomorphic to a (generalized) degenerate affine Hecke algebra, and our strategy...

The rational Cherednik algebra H is a certain algebra of differential-reflection operators attached to a complex reflection group. There is a category O of modules for this algebra which is a highest weight category. For the infinite family G(r, p, n) of complex reflection groups, the algebra H contains a subalgebra isomorphic to a (generalized) degenerate affine Hecke algebra, and our strategy...

This research suggests a new type of inte1,ligent system based on new approaches to generation and selection of family of fuzzy logics. It is based on new generalizedl strategy of designing of fuzzy intelligent systems. Family of fuzzy logics can be generated by T-norms axiomatic system to choose the logic, that is the most suitable to expert way of thinking. Then the selected fuzzy logic is te...

The paper aims at developing an algebraic representation of normative systems by sets of minimal norms, “connections”, within relational structures called condition implication structures. It is shown that, given some general presuppositions, a normative system is completely determined by its set of connections, and that comparisons between normative systems can be made by considering whether c...

Abstract In this paper we discuss the convergence of distances associated to converging structures Lipschitz vector fields and continuously varying norms on a smooth manifold. We prove that, under mild controllability assumption limit vector-fields structure, equi-Lipschitz that converge uniformly compact subsets, locally Carnot-Carathéodory distance. case in which distance is boundedly compact...