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Root continuity theorems in valued fields

โœ Scribed by Yu. L. Ershov


Book ID
106530163
Publisher
SP MAIK Nauka/Interperiodica
Year
2006
Tongue
English
Weight
139 KB
Volume
47
Category
Article
ISSN
0037-4466

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On the Continuity of themth Root of a Co
โœ Zizhen Chen; Zhongdan Huan ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 162 KB

In this paper we prove that the mth root of a nonnegative definite matrix-valued function with continuous entries is continuous. In particular, if all the entries are , which generalizes the result on the square ลฝ .