p-adic Banach space operators and adelic Banach space operators

• Autorzy: Cho I.
• Języki publikacji: EN

Abstrakty

EN

In this paper, we study non-Archimedean Banach *-algebras Mp over the p-adic number fields Qp, and MQ over the adele ring AQ. We call elements of Mp, p-adic operators, for all primes p, respectively, call those of MQ, adelic operators. We characterize MQ in terms of Mp’s. Based on such a structure theorem of MQ, we introduce some interesting p-adic operators and adelic operators

Słowa kluczowe

EN

prime fields; p-adic number fields; adele ring; p-adic Banach spaces; adelic Banach space; p-adic operators; adelic operators

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2014
• Tom: Vol. 34, no. 1
• Strony: 29--65
• Opis fizyczny: Bibliogr. 20 poz.

Twórcy

autor

Cho I.

• St. Ambrose University Department of Mathematics 421 Ambrose Hall, 518 W. Locust St. Davenport, IA 52803, USA

Bibliografia

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