Nonarchimedean Šilov boundaries and multiplicative isometries

DOI10.1016/S0019-3577(97)81548-0zbMath0905.46050MaRDI QIDQ1384928

Jesús Araujo

Publication date: 3 February 1999

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

extreme point of a convex setfunctorial propertymultiplicative closednessmultiplicative isometrical bijectionnon-Archimedean valued base fieldseparating subspacesŠilov boundariesstrongly separating

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Ideals, maximal ideals, boundaries (46J20) Categories, functors in functional analysis (46M15)

Cites Work

• A new approach to the Krein-Milman theorem
• A Nonarchimedean Stone-Banach Theorem
• Linear isometries between subspaces of continuous functions
• The Weierstrass Theorem in Fields with Valuations
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