Continuous Geometry 92 100 Derselbe Examples by Neumann (1 results)
Language: English
Published by Easton Mack, 1936
- Softcover
- First Edition
Seller: Antiquariat Gerhard Gruber, Heilbronn, GermanyAntiquariat Gerhard Gruber
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(25,5 x 17,5 cm).SS. (81)-149. Mit Abbildungen. Original-Broschur. Erste Ausgabe. - In der Mathematik ist die stetige Geometrie ein Analogon der komplexen projektiven Geometrie, die von John von Neumann eingeführt wurde, "It may be said that the algebraic structure of a factor imposes on the set of corresponding subspaces of H.…an order structure similar to that of the subspaces of a usual projective space. Intrigued by this geometric interpretation of his results, von Neumann developed it in a series of papers on 'continuous geometries' and their algebraic satellites, the 'regular rings' (which are to continuous geometries as rings of matrices are to vector spaces). This classification. required great technical skill in the handling of the spectral theory of operators" (DSB). - Sauber und wohlerhalten. - DSB 14, 88.
