Resultado da Busca
VON NEUMANN AND LATTICE THEORY GARRETT BIRKHOFF 1. Introduction. John von Neumann's brilliant mind blazed over lattice theory like a meteor, during a brief period centering around 1935-1937. With the aim of interesting him in lattices, I had called his attention, in 1933-1934, to the fact that the sublattice generated
Lattice theory. Between 1935 and 1937, von Neumann worked on lattice theory, the theory of partially ordered sets in which every two elements have a greatest lower bound and a least upper bound. As Garrett Birkhoff wrote, "John von Neumann's brilliant mind blazed over lattice theory like a meteor". [167]
John von Neumann's brilliant mind blazed over lattice theory like a meteor, during a brief period centering around 1935-1937.
In this chapter the basic properties of von Neumann lattices are described. The von Neumann lattices are the projection lattices of von Neumann algebras, and the von Neumann algebras are those *-subalgebras of B (H) which are closed with respect to certain topologies...
- Miklós Rédei
- 1998
Generalizing von Neumann’s result on type II1 von Neumann algebras, I characterise lattice isomorphisms between projection lattices of arbitrary von Neumann algebras by means of ring isomorphisms between the algebras of locally measurable operators.
Described as the scientific genius who pioneered the modern computer, game theory, nuclear deterrence, and more, John von Neumann illuminated the fields of pure and applied mathematics, computer science, physics, and economics.
Book Title: Numerical Challenges in Lattice Quantum Chromodynamics. Book Subtitle: Joint Interdisciplinary Workshop of John von Neumann Institute for Computing, Jülich, and Institute of Applied Computer Science, Wuppertal University, August 1999. Editors: Andreas Frommer, Thomas Lippert, Björn Medeke, Klaus Schilling
