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Description - Continuous Geometry by John Von Neumann

In his work on rings of operators in Hilbert space, the author discovered a new mathematical structure that resembled the lattice system Ln. In characterizing its properties, John von Neumann founded the field of continuous geometry. This book, based on von Neumann's lecture notes, begins with the development of the axioms of continuous geometry, dimension theory, and - for the irreducible case - the function D(a). The properties of regular rings are then discussed, and a variety of results are presented for lattices that are continuous geometries, for which irreducibility is not assumed.

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Book Details

ISBN: 9780691058931
ISBN-10: 0691058938
Format: Paperback
(254mm x 197mm x mm)
Pages: 312
Imprint: Princeton University Press
Publisher: Princeton University Press
Publish Date: 20-Apr-1998
Country of Publication: United States

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Author Biography - John Von Neumann

John von Neumann (1903-1957) was a Permanent Member of the Institute for Advanced Study in Princeton.

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