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Functional Analysis papers — page 13

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Discretized CCR algebras
We discuss how the canonical commutation relations must be modified in order to make appropriate numerical models of quantum systems. The C*-algebras associated with the discretized CCRs are the…
William ArvesonNov 30, 1992
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Non-commutative spheres and numerical quantum mechanics
We discuss some basic issues that arise when one attempts to model quantum mechanical systems on a computer, and we describe the mathematical structure of the resulting discretized cannonical…
William ArvesonNov 30, 1992
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Free products of hyperfinite von Neumann algebras and free dimension
The free product of an arbitrary pair of finite hyperfinite von Neumann algebras is examined, and the result is determined to be the direct sum of a finite dimensional algebra and an interpolated…
Ken DykemaNov 28, 1992
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Interpolated free group factors
The interpolated free group factors L(Fr), 1 < r <= ∞, are defined and proofs of their properties with respect to compression by projections and taking free products are proved. Hence it…
Ken DykemaNov 28, 1992
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On certain free product factors via an extended matrix model
Voiculescu's random matrix model for freeness is extended to the non-Gaussian case and also the case of constant block diagonal matrices. Thus we are able to investigate free products of free…
Ken DykemaNov 28, 1992
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Spectral Invariance of Dense Subalgebras of Operator Algebras
We define the notion of strong spectral invariance for a dense Frechet subalgebra A of a Banach algebra B. We show that if A is strongly spectral invariant in a C*-algebra B, and G is a compactly…
Larry B. SchweitzerNov 27, 1992
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Dense m-convex Frechet Subalgebras of Operator Algebra Crossed Products by Lie Groups
Let A be a dense Frechet *-subalgebra of a C*-algebra B. (We do not require Frechet algebras to be m-convex.) Let G be a Lie group, not necessarily con- nected, which acts on both A and B by…
Larry B. SchweitzerNov 27, 1992
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An analytic structure emerging in presence of infinitely many odd coordinates
This is a contribution to the program of featuring even geometry as a ``collective effect in infinite-dimensional odd geometry,'' as suggested by Manin. We show that the (Gel'fand)…
Vladimir G. PestovNov 27, 1992
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Representable K-theory of Smooth Crossed Products by R and Z
We show that the Thom isomorphism and the Pimsner-Voiculescu exact sequence both hold for smooth crossed products of Frechet algebras by R and Z respectively. We also obtain the same results for…
N. Christopher Phillips, Larry B. SchweitzerNov 25, 1992
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A Non-Spectral Dense Banach Subalgebra of the Irrational Rotation Algebra
We give an example of a dense, simple, unital Banach subalgebra A of the irrational rotation C*-algebra B, such that A is not a spectral subalgebra of B. This answers a question posed in T.W.…
Larry B. SchweitzerNov 25, 1992
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A Short Proof that Mn(A) is local if A is local and Fréchet
We give a short and very general proof of the fact that the property of a dense Fréchet subalgebra of a Banach algebra being local, or closed under the holomorphic functional calculus in the Banach…
Larry B. SchweitzerNov 25, 1992
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Approximately Finite C*-Algebras and Partial Automorphisms
We prove that every AF-algebra is isomorphic to a crossed product of a commutative AF-algebra by a partial automorphism. The case of UHF-algebras is treated in detail.
Ruy ExelNov 24, 1992
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Improper filtrations for C*-algebras: spectra of unilateral tridiagonal operators
We extend the results of our previous paper "C*-algebras and numerical linear algebra" to cover the case of "unilateral" sections. This situation bears a close resemblance to the case…
William ArvesonNov 23, 1992
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C*-algebras and numerical linear algebra
We consider problems associated with the computation of spectra of self-adjoint operators in terms of the eigenvalue distributions of their n x n sections. Under rather general circumstances, we show…
William ArvesonNov 22, 1992
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Circle Actions on C*-Algebras, Partial Automorphisms and a Generalized Pimsner-Voiculescu Exact Sequence
We introduce a method to study C*-algebras possessing an action of the circle group, from the point of view of its internal structure and its K-theory. Under relatively mild conditions our structure…
Ruy ExelNov 22, 1992
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Extremal Selections of Multifunctions Generating a Continuous Flow
Let F:[0,T]×n 2^n be a continuous multifunction with compact, not necessarily convex values. In this paper, we prove that, if F satisfies the following Lipschitz Selection…
Alberto Bressan, Graziano CrastaSep 9, 1992
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Universal arrows to forgetful functors from categories of topological algebra
We survey the present trends in theory of universal arrows to forgetful functors from various categories of topological algebra and functional analysis to categories of topology and topological…
Vladimir G. PestovAug 20, 1992
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Nonstandard hulls of Banach-Lie groups and algebras
We propose a new construction of Banach-Lie groups and algebras relying on nonstandard analysis. A major standard application is the Local Theorem which to certain extent reduces the problem of…
Vladimir G. PestovMay 19, 1992
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Integral representation for a class of C1-convex functionals
In view of the applications to the asymptotic analysis of a family of obstacle problems, we consider a class of convex local functionals F(u,A), defined for all functions u in a suitable vector…
Gianni Dal Maso, Anneliese Defranceschi, Enrico VitaliMay 11, 1992
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A Baire Category Approach to the Bang-Bang Property
Aim of this paper is to develop a new technique, based on the Baire category theorem, in order to establish the closure of reachable sets and the existence of optimal trajectories for control…
Alberto Bressan, Benedetto PiccoliMay 6, 1992
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