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Banach-Space Operators Acting on Semicircular Elements Induced by p -Adic Number Fields over Primes p

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  • Ilwoo Cho

    (Department of Mathematics and Statistics, Saint Ambrose University, 421 Ambrose Hall, 518 W. Locust St., Davenport, IA 52803, USA)

Abstract

In this paper, we study certain Banach-space operators acting on the Banach *-probability space ( LS , τ 0 ) generated by semicircular elements Θ p , j induced by p -adic number fields Q p over the set P of all primes p . Our main results characterize the operator-theoretic properties of such operators, and then study how ( LS , τ 0 ).

Suggested Citation

  • Ilwoo Cho, 2019. "Banach-Space Operators Acting on Semicircular Elements Induced by p -Adic Number Fields over Primes p," Mathematics, MDPI, vol. 7(6), pages 1-44, June.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:6:p:498-:d:236336
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