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

Banaschewski B.

Erwin Schörner

Fleischer I.

Kalho F.

Kaplansky I.

Prie-Crampe S.

Schrner E.

Zelinsky D.

Crossref

Open Access LMU

English

Der Banachsche Fixpunktsatz fu ¨r ultrametrische Ra ¨ume.

E.: Diskret bewertete Terna ¨rko ¨rper und Hahn-Terna ¨rko ¨rper auf Z.J .o f

E.: Hahn-Terna ¨rko ¨rper mit speziellen Faktorsystemen.

E.: On Immediate Extension of Ultrametric Spaces.

E.: Zur Einbettbarkeit uniform bewerteter Terna ¨rko ¨rper in Hahn-Terna ¨rko ¨rper.

E.: Zur Konstruktion von Hahn-Terna ¨rko ¨rpern als Terna ¨rko ¨rper formaler Potenzreihen.

Generalized Ultrametric Spaces I.

Generalized Ultrametric Spaces II.

Homogeneous Ultrametric Spaces.

Maximal Fields with Valuations.

Maximality and ultracompleteness in normed modules.

Nonassociative valuations.

revised April 23, 2001; in ﬁnal form

To ¨rner, G.: Maximal immediate extensions are not necessarily maximally complete.

Totalgeordnete Moduln.

Uniform Valuations on Planar Ternary Rings.

Valuation theory of ﬁelds, abelian groups and modules. To appear in: Algebra, Logic and Applications,

On maximal immediate extensions of valued division algebras