10,917 research outputs found

    Neumann Family, Berlin Collection 1912-2011

    No full text
    The collection includes documents pertaining to the Neumann family of Berlin, originally of Pyritz (now Pyrzyce). Included is a brief history of the family's cigar company in Berlin, founded by Julius Neumann; documents pertaining to the life and career of pediatrician Hugo Neumann (son of Julius Neumann), including obituary, eulogy, circular and poem about the children's clinic he founded, and photograph; and brief history and family tree of the Neumann, Hurwitz, Samuel, and Meyer families.The original German-language inventory is available in the folderMaterials from AR 1057 and AR 11864 added (David B. Neumann donor collections consolidated)Processed for digitizationSent for digitizationReturned from digitizationLinked to online manifestationdigitize

    Introducing Formalism in Economics: The Growth Model of John von Neumann

    No full text
    The objective is to interpret John von Neumann's growth model as a decisive step of the forthcoming formalist revolution of the 1950s in economics. This model gave rise to an impressive variety of comments about its classical or neoclassical underpinnings. We go beyond this traditional criterion and interpret rather this model as the manifestation of von Neumann's involvement in the formalist programme of mathematician David Hilbert. We discuss the impact of Kurt Gödel’s discoveries on this programme. We show that the growth model reflects the pragmatic turn of the formalist programme after Gödel and proposes the extension of modern axiomatisation to economics..Von Neumann, Growth model, Formalist revolution, Mathematical formalism, Axiomatics

    On the history of the isomorphism problem of dynamical systems with special regard to von Neumann's contribution

    No full text
    This paper reviews some major episodes in the history of the spatial isomorphism problem of dynamical systems theory (ergodic theory). In particular, by analysing, both systematically and in historical context, a hitherto unpublished letter written in 1941 by John von Neumann to Stanislaw Ulam, this paper clarifies von Neumann's contribution to discovering the relationship between spatial isomorphism and spectral isomorphism. The main message of the paper is that von Neumann's argument described in his letter to Ulam is the very first proof that spatial isomorphism and spectral isomorphism are not equivalent because spectral isomorphism is weaker than spatial isomorphism: von Neumann shows that spectrally isomorphic ergodic dynamical systems with mixed spectra need not be spatially isomorphic

    Normalizers of Finite von Neumann Algebras

    No full text
    For an inclusion N \subseteq M of finite von Neumann algebras, we study the group of normalizers N_M(B) = {u: uBu^* = B} and the von Neumann algebra it generates. In the first part of the dissertation, we focus on the special case in which N \subseteq M is an inclusion of separable II_1 factors. We show that N_M(B) imposes a certain "discrete" structure on the generated von Neumann algebra. By analyzing the bimodule structure of certain subalgebras of N_M(B)'', this leads to a "Galois-type" theorem for normalizers, in which we find a description of the subalgebras of N_M(B)'' in terms of a unique countable subgroup of N_M(B). We then apply these general techniques to obtain results for inclusions B \subseteq M arising from the crossed product, group von Neumann algebra, and tensor product constructions. Our work also leads to a construction of new examples of norming subalgebras in finite von Neumann algebras: If N \subseteq M is a regular inclusion of II_1 factors, then N norms M: These new results and techniques develop further the study of normalizers of subfactors of II_1 factors. The second part of the dissertation is devoted to studying normalizers of maximal abelian self-adjoint subalgebras (masas) in nonseparable II_1 factors. We obtain a characterization of masas in separable II_1 subfactors of nonseparable II_1 factors, with a view toward computing cohomology groups. We prove that for a type II_1 factor N with a Cartan masa, the Hochschild cohomology groups H^n(N,N)=0, for all n \geq 1. This generalizes the result of Sinclair and Smith, who proved this for all N having separable predual

    An Interview with Tony David Sampson: Author of Virality: Contagion Theory in the Age of Networks

    No full text
    Tony D. Sampson is Reader in Digital Culture and Communication in the School of Arts and Digital Industries (ADI) at the University of East London, where he directs the EmotionUX lab, supervising research on the cognitive, emotional, and affective aspects of user experience. In 2013, he co-founded Club Critical Theory, an organization dedicated to the application of critical theory in everyday life in Southend-on-Sea, Essex. Tony is the author of Virality: Contagion Theory in the Age of Networks and The Assemblage Brain: Sense Making in Neuroculture, both from the University of Minnesota Press. He blogs at viralcontagion.wordpress.com. The editors of this special NANO issue are delighted to have the opportunity to talk with Tony about how his work touches on issues of imitation and contagion—a loaded term unpacked within his 2012 book

    David Gregory

    No full text
    Photograph - David Gregory, member of the Book Sub-Committee, part of the Town of Athabasca 75th Anniversary Committee, Athabasca, Alberta. The Book Sub Committee produced the book "Athabasca Landing: An Illustrated History

    Divisible operators in von Neumann algebras

    No full text
    Abstract. Relativizing an idea from multiplicity theory, we say that an element of a von Neumann algebra M is n-divisible if it commutes with a type In subfactor. We decide the density of the n-divisible operators, for various n, M, and operator topologies. The most sensitive case is σ-strong density in II1 factors, which is closely related to the McDuff property. We also make use of Voiculescu's noncommutative Weyl-von Neumann theorem to obtain several descriptions of the norm closure of the n-divisible operators in B( 2 ). Here are two consequences: (1) in contrast to the larger class of reducible operators, the divisible operators are nowhere dense; (2) if an operator is a norm limit of divisible operators, it is actually a norm limit of unitary conjugates of a single divisible operator. The following application is new even for B( 2 ): if an element of a von Neumann algebra belongs to the norm closure of the ℵ0-divisible operators, then the weak* closure of its unitary orbit is convex

    David Audretsch: A Source of Inspiration, a Co-author, and a Friend

    No full text
    In this chapter, Enrico Santarelli discusses the profound impact that David had on his career. Beginning with a conference in Budapest, Santarelli and David bocame close friends and colleagues. They went on to collaborate on many papers and projects, several of which Santarelli highlights below
    corecore