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Functional Analysis papers

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Hilbert norms for graded algebras
This paper presents a solution to a problem from superanalysis about the existence of Hilbert-Banach superalgebras. Two main results are derived: 1) There exist Hilbert norms on some graded algebras…
Joachim Kupsch, Oleg G. SmolyanovDec 13, 2000
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Equivariance and Imprimitivity for Discrete Hopf C*-Coactions
Let U, V, and W be multiplicative unitaries coming from discrete Kac systems such that W is an amenable normal submultiplicative unitary of V with quotient U. We define notions for right-Hilbert…
S. Kaliszewski, John QuiggSep 14, 1998
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Distributional Asymptotic Expansions of Spectral Functions and of the Associated Green Kernels
Asymptotic expansions of Green functions and spectral densities associated with partial differential operators are widely applied in quantum field theory and elsewhere. The mathematical properties of…
R. Estrada, S. A. FullingMar 6, 1998
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On a class of stochastic differential equations used in quantum optics
Stochastic differential equations for processes with values in Hilbert spaces are now largely used in the quantum theory of open systems. In this work we present a class of such equations and discuss…
Alberto Barchielli, Fabio ZuccaFeb 18, 1998
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Cuntz-Krieger algebras for infinite matrices
Given an arbitrary infinite 0--1 matrix A having no identically zero rows, we define an algebra OA as the universal C*-algebra generated by partial isometries subject to conditions that generalize,…
Ruy Exel, Marcelo LacaFeb 1, 1998
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C*-Crossed Products by Twisted Inverse Semigroup Actions
The notions of Busby-Smith and Green type twisted actions are extended to discrete unital inverse semigroups. The connection between the two types, and the connection with twisted partial actions,…
Nandor SiebenDec 25, 1997
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A Rohlin Type Theorem for Automorphisms of Certain Purely Infinite C-Algebras
We show a noncommutative Rohlin type theorem for automorphisms of a certain class of purely infinite simple C-algebras. This class consists of the purely infinite unital simple…
Hideki NakamuraDec 22, 1997
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Partial dynamical systems and C*-algebras generated by partial isometries
A collection of partial isometries whose range and initial projections satisfy a specified set of conditions often gives rise to a partial representation of a group. The C*-algebra generated by the…
Ruy Exel, Marcelo Laca, John QuiggDec 18, 1997
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Tensor Products of Fell Bundles over Groups
We extend the theory of tensor products of C*-algebras to the larger category of Fell bundles over locally compact groups. We prove that, like in the case of C*-algebras, there exist maximal and…
Fernando AbadieDec 16, 1997
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Analysis in R1,1 or the Principal Function Theory
We explore a function theory connected with the principal series representation of SL(2,R) in contrast to standard complex analysis connected with the discrete series. We construct counterparts for…
Vladimir V. KisilDec 14, 1997
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On Matrix-Valued Herglotz Functions
We provide a comprehensive analysis of matrix-valued Herglotz functions and illustrate their applications in the spectral theory of self-adjoint Hamiltonian systems including matrix-valued…
Fritz Gesztesy, Eduard TsekanovskiiDec 11, 1997
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Embedding of exact C*-algebras and continuous fields in the Cuntz algebra O2
We prove that any separable exact C*-algebra is isomorphic to a subalgebra of the Cuntz algebra O2. We further prove that if A is a simple separable unital nuclear C*-algebra, then $…
Eberhard Kirchberg, N. Christopher PhillipsDec 9, 1997
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Cyclic Cohomology of Etale Groupoids; The General Case
We give a general method for computing the cyclic cohomology of crossed products by etale groupoids, extending the Feigin-Tsygan-Nistor spectral sequences. In particular we extend the computations…
Crainic MariusDec 1, 1997
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Sufficient Conditions for Conservativity of Minimal Quantum Dynamical Semigroups
The conservativity of a minimal quantum dynamical semigroup is proved whenever there exists a ``reference'' subharmonic operator bounded from below by the dissipative part of the…
Alexander Chebotarev, Franco FagnolaNov 25, 1997
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Boundary values of holomorphic functions and some spectral problems for unitary representations
We consider hilbert spaces of holomorphic functions in Cartan domains (in particular in ball and polydisk) and operator of restriction of holomorphic function to a submanifold in Shilov boundary. We…
Yurii A. NeretinNov 24, 1997
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Pure states on Od
We study representations of the Cuntz algebras Od and their associated decompositions. In the case that these representations are irreducible, their restrictions to the gauge-invariant subalgebra…
Ola Bratteli, Palle E. T. Jorgensen, Akitaka Kishimoto et al.Nov 21, 1997
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An Addendum to Krein's Formula
We provide additional results in connection with Krein's formula, which describes the resolvent difference of two self-adjoint extensions A1 and A2 of a densely defined closed symmetric linear…
Fritz Gesztesy, Konstantin A. Makarov, Eduard TsekanovskiiNov 18, 1997
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On the von Neumann Inequality for Linear Matrix Functions of Several Variables
The theorem on the existence of three commuting contractions on a Hilbert space and of a linear homogeneous matrix function of three independent variables for which the generalized von Neumann…
Dmitriy S. KalyuzhniyNov 13, 1997
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The Laplace Transform Method for Linear Differential Equations of the Fractional Order
The Laplace transform method for solving of a wide class of initial value problems for fractional differential equations is introduced. The method is based on the Laplace transform of the…
Igor PodlubnyOct 30, 1997
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On the AF embeddability of crossed products of AF algebras by the integers
It is shown that if A is an AF algebra then a crossed product of A by the integers can be embedded into an AF algebra if and only if the crossed product is stably finite. This equivalence follows…
Nathanial P. BrownOct 28, 1997
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Quantum Mechanics and Operator algebras on the Hilbert ball
Cirelli, Manià and Pizzocchero generalized quantum mechanics by Kähler geometry. Furthermore they proved that any unital C*-algebra is represented as a function algebra on the set of pure states…
Katsunori KawamuraOct 21, 1997
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Finite dimensional quotients of commutative operator algebras
The matrix normed structure of the unitization of a (non-selfadjoint) operator algebra is determined by that of the original operator algebra. This yields a classification up to completely isometric…
Ralf MeyerOct 17, 1997
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Dense analytic subspaces in fractal L2-spaces
We consider self-similar measures μ with support in the interval 0≤ x≤ 1 which have the analytic functions \ei2πnx:n=0,1,2,... \ span a dense subspace in L2(μ) .…
Palle E. T. Jorgensen, Steen PedersenSep 30, 1997
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Operator space structures and the split property II
A characterization of the split property for an inclusion N⊂ M of W*-factors with separable predual is established in terms of the canonical non-commutative L2 embedding considered in…
Francesco FidaleoSep 26, 1997
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Some operator ideals in non-commutative functional analysis
We characterize classes of linear maps between operator spaces E, F which factorize through maps arising in a natural manner via the Pisier vector-valued non-commutative Lp spaces Sp[E*]…
Francesco FidaleoSep 26, 1997
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