p-adic Banach space operators and adelic Banach space operators

In this paper, we study non-Archimedean Banach \(*\)-algebras \(\frak{M}_{p}\) over the \(p\)-adic number fields \(\mathbb{Q}_{p}\), and \(\frak{M}_{\mathbb{Q}}\) over the adele ring \(\mathbb{A}_{\mathbb{Q}}\). We call elements of \(\frak{M}_{p}\), \(p\)-adic operators, for all primes \(p\), respec...

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Bibliographic Details
Main Author: Ilwoo Cho
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2014-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:http://www.opuscula.agh.edu.pl/vol34/1/art/opuscula_math_3403.pdf