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Functional Analysis papers — page 12

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q-Supersymmetric Generalization of von Neumann's Theorem
Assuming that there exist operators which form an irreducible representation of the q-superoscillator algebra, it is proved that any two such representations are equivalent, related by a uniquely…
M. Chaichian, R. Gonzalez Felipe, P. PresnajderMay 21, 1993
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Connection between the harmonic analysis on the sphere and the harmonic analysis on the one-sheeted hyperboloid: an analytic continuation viewpoint
In a previous paper [B,V-1], an algebra of holomorphic ``perikernels'' on a complexified hyperboloid X(c)d-1 (in Cd) has been introduced; each perikernel K …
J. Bros, G. A. VianoMay 12, 1993
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On a groupoid construction for actions of certain inverse semigroups
We consider a version of the notion of F-inverse semigroup (studied in the algebraic theory of inverse semigroups). We point out that an action of such an inverse semigroup on a locally compact space…
Alexandru NicaMay 11, 1993
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Approximation of Relaxed Dirichlet Problems by Boundary Value problems in perforated domains
Given an elliptic operator~L on a bounded domain~Ω⊂eq Rn, and a positive Radon measure~μ on~Ω, not charging polar sets, we discuss an explicit approximation procedure which leads…
Gianni Dal Maso, Annalisa MalusaMar 26, 1993
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A Wiener estimate for relaxed Dirichlet problems in dimension N≥ 2
We prove a Wiener energy estimate for relaxed Dirichlet problems Lu + μu =ν in Ω, with L an uniformly elliptic operator with bounded coefficients, μ a measure of M0(Ω), ν a Kato…
Adriana GarroniMar 26, 1993
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Coherent States of the q--Canonical Commutation Relations
For the q-deformed canonical commutation relations a(f)a(g) = (1-q)\, f,g1+q\,a(g)a(f) for f,g in some Hilbert space H we consider representations…
P. E. T. Jørgensen, R. F. WernerMar 12, 1993
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Spectral and polar decomposition in AW*-algebras
We show the possibility and the uniqueness of polar decomposition of elements of arbitrary AW*-algebras inside them. We prove that spectral decomposition of normal elements of normal AW*-algebras is…
Michael FrankMar 11, 1993
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Modular Structure and Duality in Conformal Quantum Field Theory
Making use of a recent result of Borchers, an algebraic version of the Bisognano-Wichmann theorem is given for conformal quantum field theories, i.e. the Tomita-Takesaki modular group associated with…
R. Brunetti, D. Guido, R. LongoFeb 25, 1993
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Operator spaces and residually finite-dimensional C-algebras
For every operator space X the C-algebra containing it in a universal way is residually finite-dimensional (that is, has a separating family of finite-dimensional representations). In…
Vladimir G. PestovFeb 25, 1993
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Factoriality and the Connes invariant T(M) for free products of von Neumann algebras
This revised version corrects some substancial errors in the proofs. The old proofs were only valid for (finite dimensional) * (finite dimensional). The scope of the results remains the same, however…
Kenneth J. DykemaFeb 22, 1993
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On the Fock representation of the q-commutation relations
The q-commutation relations in the title are those that have recently received much attention, and that for -1<q<1 provide an interpolation between Bosonic and Fermionic statistics, passing through…
Ken Dykema, Alexandru NicaFeb 22, 1993
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Time-Frequency Localization and the Gabor Transform
The time-frequency content of a signal can be measured by the Gabor transform or windowed Fourier transform. This is a function defined on phase space that is computed by taking the Fourier transform…
Jayakumar Ramanathan, Pankaj TopiwalaFeb 18, 1993
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On the outer automorphism groups of triangular alternation limit algebras
Let A denote the alternation limit algebra, studied by Hopenwasser and Power, and by Poon, which is the closed direct limit of upper triangular matrix algebras determined by refinement embeddings…
S. C. PowerFeb 9, 1993
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Algebraic orders on K0 and approximately finite operator algebras
This is a revised and corrected version of a preprint circulated in 1990 in which various non-self-adjoint limit algebras are classified. The principal invariant is the scaled K0 group together…
S. C. PowerFeb 9, 1993
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The Bunce-Deddens Algebras as Crossed Products by Partial Automorphisms
We describe both the Bunce-Deddens C*-algebras and their Toeplitz versions, as crossed products of commutative C*-algebras by partial automorphisms. In the latter case, the commutative algebra has,…
Ruy ExelFeb 9, 1993
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A Factorization Theorem for Smooth Crossed Products
We show that if E is a Frechet G S(M)-module, for which the canonical map from the projective completion G S(M) E to E is surjective, then every element of E can be…
Larry B. SchweitzerJan 29, 1993
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Generalized fixed-point algebras of certain actions on crossed products
Let G and H be two locally compact groups acting on a C*-algebra A by commuting actions. We construct an action on the crossed product AXG out of a unitary 2-cocycle u and the action of H on A. For A…
Beatriz AbadieJan 28, 1993
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"Vector bundles" over quantum Heisenberg manifolds
By means of techniques from the Morita equivalence theory, we get finitely generated and projective modules over the quantum Heisenberg manifolds. This enables us to get some information about the…
Beatriz AbadieJan 28, 1993
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Summary of Spectral Invariance Results
The author's recent results on spectral invariant dense subalgebras of C*-algebras associated with dynamical systems are summarized. If G is a compactly generated polynomial growth Type R Lie…
Larry B. SchweitzerJan 23, 1993
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Lie-algebras and linear operators with invariant subspaces
A general classification of linear differential and finite-difference operators possessing a finite-dimensional invariant subspace with a polynomial basis (the generalized Bochner problem) is given.…
Alexander TurbinerJan 16, 1993
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A Fredholm Operator Approach To Morita Equivalence
Given C*-algebras A and B and an imprimitivity A-B-bimodule X, we construct an explicit isomorphism X* : Ki(A) --> Ki(B) where Ki denote the complex K-theory functors for i=0, 1. Our techniques…
Ruy ExelDec 31, 1992
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The Soft Torus II: A Variational Analysis of Commutator Norms
The field of C*-algebras over the interval [0,2] for which the fibers are the Soft Tori is shown to be continuous. This result is applied to show that any pair of non-commuting unitary operators can…
Ruy ExelDec 19, 1992
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Compression Limit Algebras
This paper studies direct limits of full upper triangular matrix algebras with embeddings which are not *-extendible. A representation of the limit algebra is found so that the generated C*-algebra…
Alan Hopenwasser, Cecelia LaurieDec 18, 1992
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On von Neumann algebras which are complemented subspaces of B(H)
If there exists a completely bounded projection of B(H) onto a von Neumann algebra M on H, then M is injective. If there exists a bounded projection and M is properly infinite, the same conclusion…
Erik Christensen, Allan M. SinclairDec 14, 1992
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The free abelian topological group and the free locally convex space on the unit interval
We give a complete description of the topological spaces X such that the free abelian topological group A(X) embeds into the free abelian topological group A(I) of the closed unit interval. In…
A. G. Leiderman, S. A. Morris, V. G. PestovDec 11, 1992
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