p-adic Banach space operators and adelic Banach space operators

DOI10.7494/OpMath.2014.34.1.29zbMath1428.47032MaRDI QIDQ5414109

Ilwoo Cho

Publication date: 2 May 2014

Published in: Opuscula Mathematica (Search for Journal in Brave)

zbMATH Keywords

prime fieldsadele ring\(p\)-adic number fields\(p\)-adic Banach spaces\(p\)-adic operatorsadelic Banach spaceadelic operators

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Abstract operator algebras on Hilbert spaces (47L30) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Representations of (nonselfadjoint) operator algebras (47L55) Combinatorial aspects of groups and algebras (05E16)

Related Items (15)

On dynamical systems induced by p-adic number fields ⋮ Free \(W^*\)-dynamical systems from \(p\)-adic number fields and the Euler totient function ⋮ Krein-space representations of arithmetic functions determined by primes ⋮ Matrices induced by arithmetic functions, primes and groupoid actions of directed graphs ⋮ Free Products of C*-Probability Spaces from p-Adic Hecke Algebras ⋮ Factorization of \(\mathbb C\)-valued functions induced by graphs ⋮ Free probability on \(W^{*}\)-dynamical systems determined by \(GL_{2}(\mathbb {Q} _{p})\): generalized Hecke algebras ⋮ Krein-space operators determined by free product algebras induced by primes and graphs ⋮ Certain group dynamical systems induced by Hecke algebras ⋮ Free probability on Hecke algebras and certain group C^{*}-algebras induced by Hecke algebras ⋮ Analysis of free products of the general linear groups 𝐺𝐿₂(ℚ_{𝕡}) and Hecke algebras ℋ(𝒢ℒ₂(ℚ_{𝕡})) over primes 𝕡 ⋮ Free probability on Hecke algebras ⋮ Free probability on \( C^*\)-algebras induced by Hecke algebras over primes ⋮ \(\mathbb C\)-valued functions induced by graphs ⋮ Representations and corresponding operators induced by Hecke algebras

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