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Functional Analysis papers — page 2

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Endomorphisms of B(H), extensions of pure states, and a class of representations of On
Let Fn be the fixed-point algebra of the gauge action of the circle on the Cuntz algebra On. For every pure state ρof Fn and every representation θof C(T) we construct a representation of On, and…
Neal Fowler, Marcelo LacaSep 26, 1997
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Bound-state asymptotic estimates for window-coupled Dirichlet strips and layers
We consider the discrete spectrum of the Dirichlet Laplacian on a manifold consisting of two adjacent parallel strips or planar layers coupled by a finite number N of windows in the common boundary.…
Pavel Exner, Simeon VugalterSep 25, 1997
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Morita equivalences between fixed point algebras and crossed products
In this paper, we will prove that if A is a C*-algebra with an effective coaction ε by a compact quantum group, then the fixed point algebra and the reduced crossed product are Morita…
Chi-Keung NgSep 11, 1997
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Exponential Bounds on Curvature-Induced Resonances in a Two-Dimensional Dirichlet Tube
We consider curvature-induced resonances in a planar two-dimensional Dirichlet tube of a width d . It is shown that the distances of the corresponding resonance poles from the real axis are…
P. Duclos, P. Exner, B. MellerSep 10, 1997
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Abelian topological groups without irreducible Banach representations
We exhibit abelian topological groups admitting no nontrivial strongly continuous irreducible representations in Banach spaces. Among them are some abelian Banach-Lie groups and some monothetic…
Vladimir PestovAug 26, 1997
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Expressing the Field Operator in Terms of Currents and Densities
A formula is written down for the annhilation operator(bose or fermi) in terms of the corresponding observable bilinears namely currents and densities. The Fock space representation of these formulas…
Girish S. SetlurAug 25, 1997
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Green's Functions and Energy Decay on Homogeneous Spaces
We consider a homogeneous space X=(X,d,m) of dimension ν≥ 1 and a local regular Dirichlet form in L2(X,m). We prove that if a Poincaré inequality holds on every pseudo-ball B(x,R) of X, with…
Remo GarattiniAug 9, 1997
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Operator interpretation of resonances arising in spectral problems for 2 x 2 operator matrices
We consider operator matrices H= (A0 B01 \\ B10 A1) with self-adjoint entries Ai, i=0,1, and bounded B01=B10*, acting in the orthogonal sum H= H0 H1…
R. Mennicken, A. K. MotovilovAug 1, 1997
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The analytic structure of an algebraic quantum group
A. Van Daele introduced and investigated so-called algebraic quantum groups. We proved that such algebraic quantum groups give rise to C*-algebraic quantum groups in the sense of Masuda, Nakagami &…
Johan KustermansJul 28, 1997
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One-parameter representations on C*-algebras
Strongly continuous one-parameter representations on C*-algebras and their extension to the multiplier algebra are investigated. We give also a proof of the Stone theorem on Hilbert C*-modules and…
Johan KustermansJul 28, 1997
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Pseudodifferential calculus on manifolds with corners and groupoids
We build a longitudinally smooth differentiable groupoid associated to any manifold with corners. The pseudodifferential calculus on this groupoid coincides with the pseudodifferential calculus of…
Bertrand MonthubertJul 22, 1997
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Convergence of the Splitting Method for Shallow Water Equations
In this paper we analyze the convergence of the splitting method for shallow water equations. In particular, we give an analytical estimation of the time step which is necessary for the convergence…
Maria Morandi Cecchi, Luca SalasnichJul 19, 1997
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The C*-algebra of a Hilbert Bimodule
We regard a right Hilbert C*-module X over a C*-algebra A endowed with an isometric *-homomorphism ϕ: A LA(X) as an object XA of the C*-category of right Hilbert A-modules. Following a…
Sergio Doplicher, Claudia Pinzari, Rita ZuccanteJul 19, 1997
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Relations between asymptotic and Fredholm representations
We prove that for matrix algebras Mn there exists a monomorphism (Πn Mn/n Mn) C(S1) Q into the Calkin algebra which induces an isomorphism of the K1-groups.…
V. M. Manuilov, A. S. MishchenkoJul 16, 1997
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Normalization Integrals of Orthogonal Heun Functions
A formula for evaluating the quadratic normalization integrals of orthogonal Heun functions over the real interval 0 <= x <= 1 is derived using a simple limiting procedure based upon the associated…
Peter A. BeckerJul 14, 1997
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Light-Cone Expansion of the Dirac Sea with Light Cone Integrals
The Dirac sea is calculated in an expansion around the light cone. The method is to analyze the perturbation expansion for the Dirac sea in position space. This leads to integrals over expressions…
Felix FinsterJul 13, 1997
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Spectral asymptotics of periodic elliptic operators
We demonstrate that the structure of complex second-order strongly elliptic operators H on Rd with coefficients invariant under translation by Zd can be analyzed through…
Ola Bratteli, Palle E. T. Jorgensen, Derek W. RobinsonJul 11, 1997
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Unitary Representations of Lie Groups with Reflection Symmetry
We consider the following class of unitary representations π of some (real) Lie group G which has a matched pair of symmetries described as follows: (i) Suppose G has a period-2 automorphism…
Palle E. T. Jorgensen, Gestur ÓlafssonJul 11, 1997
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Infinitesimal Takesaki duality of Hamiltonian vector fields on a symplectic manifold
For an infinitesimal symplectic action of a Lie algebra g on a symplectic manifold, we construct an infinitesimal crossed product of Hamiltonian vector fields and Lie algebra g.…
Katsunori KawamuraJun 20, 1997
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The functional calculus for regular operators in Hilbert C*-modules revisited
Woronowicz introduced the functional calculus for normal operators in Hilbert C*-modules. The aim of this paper is to translate, if possible, some basic properties of the functional calculus in…
Johan KustermansJun 20, 1997
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The Quantum Stochastic Differential Equation Is Unitarily Equivalent to a Symmetric Boundary Value Problem for the Schrödinger Equation
We prove that the solution of the Hudson-Parthasarathy quantum stochastic differential equation in the Fock space coincides with the solution of a symmetric boundary value problem for the Schrödinger…
Alexander M. ChebotarevJun 19, 1997
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Deformation Quantization via Fell Bundles
A method for deforming C*-algebras is introduced, which applies to C*-algebras that can be described as the cross-sectional C*-algebra of a Fell bundle. Several well known examples of non-commutative…
Beatriz Abadie, Ruy ExelJun 18, 1997
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The Brauer Group of a Locally Compact Groupoid
We define the Brauer group (G) of a locally compact groupoid G to be the set of Morita equivalence classes of pairs (,α) consisting of an elementary C*-bundle over G(0)…
Alex Kumjian, Paul S. Muhly, Jean N. Renault et al.Jun 17, 1997
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Crossed products by C0(X)-actions
Suppose that G has a representation group H, that Gab:= G/[G,G] is compactly generated, and that A is a -algebra for which the complete regularization of (A) is a locally…
Siegfried Echterhoff, Dana P. WilliamsJun 17, 1997
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Locally Inner Actions on C0(X)-Algebras
We make a detailed study of locally inner actions on C*-algebras whose primitive ideal spaces have locally compact Hausdorff complete regularizations. We suppose that G has a representation group…
Siegfried Echterhoff, Dana P. WilliamsJun 17, 1997
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