|Schörner, Erwin (2003): On maximal immediate extensions of valued division algebras. In: Forum Mathematicum, Vol. 15, No. 1: pp. 123-134|
We show an extension theorem for strictly contracting bilinear mappings into a spherically complete valued vector space and we apply this result to prove that every maximal valued division algebra having the same characteristic as its residue division algebra is spherically complete.
|Faculties:||Mathematics, Computer Science and Statistics > Mathematics|
|Subjects:||500 Science > 510 Mathematics|
|Alliance/National Licence:||This publication is with permission of the rights owner freely accessible due to an Alliance licence and a national licence (funded by the DFG, German Research Foundation) respectively.|
|Deposited On:||02. Jan 2014 10:32|
|Last Modified:||29. Apr 2016 09:15|