Skip to content

Functional Analysis papers — page 4

funct-anBrowse archive

Simplicity and the stable rank of some free product C*-algebras
A necessary and sufficient condition for the simplicity of the C*-algebra reduced free product of finite dimensional abelian algebras is found, and it is proved that the stable rank of every such…
Kenneth J. DykemaFeb 17, 1997
Learn
Faithfulness of free product states
It is proved that the free product state, in the reduced free product of C*-algebras, is faithful if the initial states are faithful.
Kenneth J. DykemaFeb 17, 1997
Learn
An invariant for pairs of almost commuting unbounded operators
For a wide class of pairs of unbounded selfadjoint operators with bounded commutator we construct a K-theoretical integer invariant which is continuous, is equal to zero for commuting operators and…
V. M. ManuilovFeb 17, 1997
Learn
The asymptotical behavior of spectral function of one family of differential operators
Is considered the asymptotical behavior of spectral function ρ(λ, ε),ε> 0, of one family of self adjoint differential operators of second order, defined in space L2[0,+∞) with potentials,…
A. S. Pechentsov, A. Yu. PopovFeb 12, 1997
Learn
Symmetrical Extensions of Dirichlet Operators
There is constructed and considered the extension of classical Diriclet operator corresponding to uniformly log-concave measure in the space of symmetric differential forms. Sufficient conditions for…
A. G. UsFeb 12, 1997
Learn
Stochastic equations and evolution families in the space of formal mappings
We consider stochastic equations for the class of formal mappings. Existence and uniqueness of solution, as well as evolution property are proved.
I. Ya. SpectorskyFeb 12, 1997
Learn
On Variational Inequalities with Multivalued Operators with Semi-Bounded Variation
In this paper we explore solvability of steady-state variational inequalities with multivalued operators. Moreover, we are studying the connections between the class of radially semi-continuous…
O. V. SolonoukhaFeb 12, 1997
Learn
Dual n1-Appell-like Systems in Infinite-Dimensional Analysis
We introduce and study dual n1-Appell-like systems which are the simple generalization of generalized dual Appell systems in Infinite-Dimensional Analysis (IDA). We study connected with these…
N. A. KachanovskyFeb 12, 1997
Learn
On the problem of semiinfinite beam oscillation with internal damping
We study the Cauchy problem for the equation of the form u(t) + (åA + B)u(t) + (A+G)u(t) = 0,* where A, B, and G are øs in a Hilbert space H with A selfadjoint,…
Rostyslav O. HrynivFeb 12, 1997
Learn
Morphisms of Multiplicative Unitaries
In this paper, we will give a natural definition for morphisms between multiplicative unitaries. We will then discuss some equivalences of this definition and some interesting properties of them.…
Chi-Keung NgFeb 11, 1997
Learn
Gamma Noise Analysis
We study an infinite dimensional analysis with respect to the measure on Schwartz space of tempered distributions, corresponding to the distributional derivative of gamma process. Laguerre…
A. V. Gorbunov, G. F. UsFeb 11, 1997
Learn
Pseudodifferential operators on differential groupoids
We construct an algebra of pseudodifferential operators on each groupoid in a class that generalizes differentiable groupoids to allow manifolds with corners. We show that this construction…
Victor Nistor, Alan Weinstein, Ping XuFeb 11, 1997
Learn
A Riemann sum upper bound in the Riemann-Lebesque theorem
The Riemann-Lebesque Theorem is commonly proved in a few strokes using the theory of Lebesque integration. Here, the upper bound 2π|ck(f)| Sk(f)-sk(f) for the Fourier coefficients ck is…
Maurice H. P. M. van PuttenFeb 5, 1997
Learn
On the infinite-dimensional hidden symmetries. III. qR-conformal symmetries at qR∞ and Berezin-Karasev-Maslov asymptotic quantization of C∞(S1)
The relations between the infinite dimensional geometry of qR-conformal symmetries at qR∞, Berezin quantization of the Lobachevskii plane and Karasev-Maslov asymptotic quantization are…
Denis V. JurievFeb 2, 1997
Learn
On summability of distributions and spectral geometry
Modulo the moment asymptotic expansion, the Cesaro and parametric behaviours of distributions at infinity are equivalent. On the strength of this result, we construct the asymptotic analysis for…
R. Estrada, J. M. Gracia-Bondia, J. C. VarillyFeb 1, 1997
Learn
Multi-Resolution Analysis in Arbitrary Hilbert Spaces
We discuss the possibility of introducing a multi-resolution in a Hilbert space which is not necessarily a space of functions. We investigate which of the classical properties can be translated to…
Fabio BagarelloJan 30, 1997
Learn
Some Results about Frames
In this paper we discuss some topics related to the general theory of frames. In particular we focus our attention to the existence of different 'reconstruction formulas' for a given vector…
Fabio BagarelloJan 30, 1997
Learn
On the operator algebra for the space-time uncertainty relations
The purpose of this note is to show that the construction of the C*-algebra for the space-time uncertainty relations which was introduced by Doplicher, Fredenhagen and Roberts fits comfortably into…
Marc A. RieffelJan 29, 1997
Learn
A cohomological characterization of approximately finite dimensional von Neumann algebras
For a von Neumann algebra M on a Hilbert space, A. Connes has constructed a module S and a derivation of M into S, such that M is approximately finite dimensional if and only if that derivation is…
Erik Christensen, Allan M. SinclairJan 24, 1997
Learn
On the infinite dimensional hidden symmetries. II. qR-conformal modular functor
The article is devoted to the qR-conformal modular functors, which being ``deformations'' of the conformal modular functor (the projective representation of the category…
Denis V. JurievJan 23, 1997
Learn
II1-Subfactors associated with the C*-Tensor Category of a Finite Group
We determine the subfactors N⊂ R of the hyperfinite II1-factor R with finite index for which the C*-tensor category of the associated (N,N)-bimodules is equivalent to the C*-tensor…
R. SchaflitzelJan 22, 1997
Learn
C*-Tensor Categories in the Theory of II1-Subfactors
The article contains a detailed description of the connection between finite depth inclusions of II1-subfactors and finite C*-tensor categories (i.e. C*-tensor categories with dimension…
R. SchaflitzelJan 22, 1997
Learn
A Note on Bimodules and II1-Subfactors
A brief introduction into bimodules of II1-factors is presented. Furthermore a version of the following result due to M. Pimsner and S. Popa is derived: Let $N=M-1⊂ M=M0 ⊂ M1…
R. SchaflitzelJan 22, 1997
Learn
Meet irreducible ideals in direct limit algebras
We study the meet irreducible ideals in certain direct limit algebras, namely the strongly maximal triangular subalgebras of AF C*-algebras. These ideals have a description in terms of the…
Allan P. Donsig, Alan Hopenwasser, Timothy D. Hudson et al.Jan 21, 1997
Learn
A New Definition of Hypercomplex Analyticity
Complex analyticity is generalized to hypercomplex functions, quaternion or octonion, in such a manner that it includes the standard complex definition and does not reduce analytic functions to a…
De Leo Stefano, Rotelli PietroJan 20, 1997
Learn
← PreviousPage 4Next →