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Example of a Map of Banach Spaces over a Non-Archimedian Field with Non-Closed Image

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#functional-analysis #reference-request #banach-spaces #p-adic-number-theory #nonarchimedian-analysis
75
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Consider the p-adic field $ \ \mathbb{Q}_p \ $ . Define $ \operatorname{ord}_p(x) \ $ to be the p-adic valuation of $ \ x \ $

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#p-adic-number-theory #nonarchimedian-analysis
72
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How to write disc of convergence in $ (1) $ in the following form $ |x|_p < K $

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#p-adic-number-theory #nonarchimedian-analysis
416
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Does the above non-Archimedean but ordered field satisfy Nested interval property?

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#calculus #ordered-fields #nonarchimedian-analysis
71
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Structure of units in unramified extension of $\mathbb{Q}_2$

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#field-theory #extension-field #p-adic-number-theory #nonarchimedian-analysis
92
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$p$-adic power series and its maximum in the unit ball

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#algebraic-number-theory #p-adic-number-theory #valuation-theory #rigid-analytic-spaces #nonarchimedian-analysis
35
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An equality of polynomials

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#nonarchimedian-analysis
71
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Reference Request: Manifold theory when $\mathbb{R}$ is replaced by a complete ordered field

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#differential-geometry #reference-request #manifolds #nonarchimedian-analysis
101
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Why does $f(x_n)\rightarrow 0$ imply that a subsequence converges to zero of $f$?

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#limits #algebraic-number-theory #irreducible-polynomials #local-field #nonarchimedian-analysis
41
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unit ball in $\mathbb C_p$ as an inverse limit

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#general-topology #ring-theory #nonarchimedian-analysis
399
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Compact subgroups of a p-adic field

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#number-theory #algebraic-number-theory #p-adic-number-theory #nonarchimedian-analysis
53
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Literature for a proof of a result about norms of affinoid Algebras

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#reference-request #spectral-norm #nonarchimedian-analysis
73
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$Z(G)[G,G]$ is of finite index in $GL_2(F)$ for a non-Archimedean local field?

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#group-theory #representation-theory #p-adic-number-theory #nonarchimedian-analysis
95
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The space $(\mathbb{Q}_{p}[X],|-|_{\text{gauss}})$ is not complete

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#p-adic-number-theory #complete-spaces #nonarchimedian-analysis
90
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Reference for $p$-adic Haar integral

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#reference-request #p-adic-number-theory #locally-compact-groups #haar-measure #nonarchimedian-analysis

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