Regular Lie groups and a theorem of Lie-PalaisIn 1984 Milnor had shown how to deduce the Lie-Palais theorem on integration of infinitesimal actions of finite-dimensional Lie algebras on compact manifolds from general theory of regular Lie groups…Vladimir G. Pestov·Mar 14, 1994SaveLearn
Crossed product decompositions of a purely infinite von Neumann algebra with faithful, almost periodic weightFor a separable, purely infinite von Neumann algebra with almost periodic weight ϕ, a decomposition of as a crossed product of a semifinite von Neumann algebra by a trace--scaling…Kenneth J. Dykema·Mar 7, 1994SaveLearn
On Polynomial Relations in the Heisenberg AlgebraPolynomial relations between the generators of the classical and quantum Heisenberg algebras are presented. Some of those relations can have a meaning of the formulas of the normal ordering for the…N. Fleury, A. Turbiner·Mar 4, 1994SaveLearn
Order Preservation in Limit AlgebrasThe matrix units of a digraph algebra, A, induce a relation, known as the diagonal order, on the projections in a masa in the algebra. Normalizing partial isometries in A act on these projections by…Alan Hopenwasser, Allan Donsig·Mar 1, 1994SaveLearn
On Integrable Solutions of Impulsive Delay Differential EquationsThe connection of function properties of solutions with exponential stability of linear impulsive differential equation x (t) - Σk=1m Ak (t) x[hk(t)] = r(t),~ t ≥ 0, x(ξ) =…L. Berezansky, E. Braverman·Feb 13, 1994SaveLearn
Infinite-Dimensional Geometry of the Universal Deformation of the Complex DiskThe universal deformation of the complex disk is studied from the viewpoint of infinite-dimensional geometry. The structure of a subsymmetric space on the universal deformation is described. The…D. Juriev·Jan 28, 1994SaveLearn
Group Cohomology, Modular Theory and Space-time SymmetriesThe Bisognano-Wichmann property on the geometric behavior of the modular group of the von Neumann algebras of local observables associated to wedge regions in Quantum Field Theory is shown to provide…R. Brunetti, D. Guido, R. Longo·Jan 18, 1994SaveLearn
Boundedness and Stability of Impulsively Perturbed Delay Differential EquationsSuppose any solution of a linear impulsive delay differential equation x (t) + Σi=1m Ai (t) x[hi (t)] = 0,~t ≥ 0, x(s) = 0, s < 0, x(τj +0) = Bj x(τj -0) + αj, ~j=1,2,…L. Berezansky, E. Braverman·Jan 16, 1994SaveLearn
A New Approach to Investigation of Evolution Differential Equations in Banach SpacesKnown investigations of nonlinear evolution equations dx dt + A(t)x(t) = f(t)\ , x(t0) = x0,\ t0 t < ∞\ , (0.1) with monotone operators A(t) acting from…Ya. I. Alber·Jan 2, 1994SaveLearn
The Penalty Method for Variational Inequalities with Nonsmooth Unbounded Operators in Banach SpaceThe existence of a solution, convergence and stability of the penalty method for variational inequalities with nonsmooth unbounded uniformly and properly monotone operators in Banach spase B are…Ya. I. Alber·Dec 29, 1993SaveLearn
Positive representations of general commutation relations allowing Wick orderingWe consider the problem of representing in Hilbert space commutation relations of the form aiaj*=δij1 + ΣkTijk a*ak , where the Tijk are…P. E. T. Jorgensen, L. M. Schmitt, R. F. Werner·Dec 21, 1993SaveLearn
Global Version of Bjornestal's Estimate for Metric Projection Operator in Banach SpaceIn 1979, B.Bjornestal obtained local estimate for a modulus of uniform continuity of metric projection operator on closed subspace in uniformly convex and uniformly smooth Banach space B. In the…Ya. Alber·Dec 7, 1993SaveLearn
Direct integrals and Hilbert W*-ModulesInvestigating the direct integral decomposition of von Neumann algebras of bounded module operators on self-dual Hilbert W*-moduli an equivalence principle is obtained which connects the theory of…Michael Frank·Dec 6, 1993SaveLearn
Boundedness and Stability of Impulsively Perturbed Systems in a Banach SpaceConsider a linear impulsive equation in a Banach space x(t)+A(t)x(t) = f(t), ~t ≥ 0, x(τi +0)= Bi x(τi -0) + αi, with i → ∞ τi = ∞ . Suppose each…L. Berezansky, E. Braverman·Dec 6, 1993SaveLearn
Exponential Stability of Linear Delay Impulsive Differential EquationsFor ordinary differential equations and functional differential equations the following result is well known. Suppose any solution is bounded on the half-line for each bounded on the half-line…A. Anokhin, L. Berezansky, E. Braverman·Nov 26, 1993SaveLearn
On Some Estimates for Projection Operator in Banach SpacePreviously unknown estimates of uniform continuity of projection operators in Banach space have been obtained. They can be used in the investigations of approximation methods, in particular, the…Ya. I. Alber, A. I. Notik·Nov 25, 1993SaveLearn
Generalized Projection Operators in Banach Spaces: Properties and ApplicationsThis paper is an account (without proofs) of the results of our work "Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications", funct-an/9311001. The Section…Ya. I. Alber·Nov 25, 1993SaveLearn
Metric and Generalized Projection Operators in Banach Spaces: Properties and ApplicationsMetric projection operators can be defined in similar wayin Hilbert and Banach spaces. At the same time, they differ signifitiantly in their properties. Metric projection operator in Hilbert space is…Ya. I. Alber·Nov 24, 1993SaveLearn
Non Symmetric Dirichlet Forms on Semifinite von Neumann AlgebrasThe theory of non symmetric Dirichlet forms is generalized to the non abelian setting, also establishing the natural correspondences among Dirichlet forms, sub-Markovian semigroups and sub-Markovian…D. Guido, T. Isola, S. Scarlatti·Aug 9, 1993SaveLearn
Singular Traces and Compact Operators. IWe give a necessary and sufficient condition on a positive compact operator T for the existence of a singular trace (i.e. a trace vanishing on the finite rank operators) which takes a finite…S. Albeverio, D. Guido, A. Ponosov et al.·Aug 9, 1993SaveLearn
Classification of linear differential operators with an invariant subspace of monomialsA complete classification of linear differential operators possessing finite-dimensional invariant subspace with a basis of monomials is presented.Gerhard Post, Alexander Turbiner·Jul 21, 1993SaveLearn
The role of C*-algebras in infinite dimensional numerical linear algebraThis is a survey of four recent papers which deal with the relationship of simple C*-algebras to the problem of computing the spectra of self-adjoint operators in the general case, especially when…William Arveson·Jun 8, 1993SaveLearn
Commuting difference operators with polynomial eigenfunctionsWe present explicit generators of an algebra of commuting difference operators with trigonometric coefficients. The operators are simultaneously diagonalized by recently discovered q-polynomials…J. F. van Diejen·Jun 7, 1993SaveLearn
A calculation with a bi-orthogonal wavelet transformationWe explore the use of bi-orthogonal basis for continuous wavelet transformations, thus relaxing the so-called admissibility condition on the analyzing wavelet. As an application, we determine the…H. Falomir, M. A. Muschietti, E. M. Santangelo et al.·Jun 3, 1993SaveLearn
On some operator identities and representations of algebrasCertain infinite families of operator identities related to powers of positive root generators of (super) Lie algebras of first-order differential operators and q-deformed algebras of first-order…Alexander Turbiner, Gerhard Post·May 26, 1993SaveLearn