Matrices induced by arithmetic functions acting on certain Krein spaces

• Autorzy: Ilwoo Cho
• Języki publikacji: EN

Abstrakty

EN

In this paper, we study matrices induced by arithmetic functions under certain Krein-space representations induced by (multi-)primes less than or equal to fixed positive real numbers.

Słowa kluczowe

EN

Primes; Arithmetic Functions; the Arithmetic Algebra; Linear Functionals; Arithmetic Probability Spaces; Krein Spaces; Krein-Space Operators

Kategorie tematyczne

• 47L30: Abstract operator algebras on Hilbert spaces
• 46L53: Noncommutative probability and statistics
• 05E15: Combinatorial aspects of groups and algebras
• 46L54: Free probability and free operator algebras
• 11R04: Algebraic numbers; rings of algebraic integers
• 46L40: Automorphisms
• 47L55: Representations of (nonselfadjoint) operator algebras
• 11G15: Complex multiplication and moduli of abelian varieties
• 46L10: General theory of von Neumann algebras
• 11R56: Ad\`ele rings and groups
• 11R47: Other analytic theory
• 47L15: Operator algebras with symbol structure
• 11R09: Polynomials (irreducibility, etc.)

• Wydawca: De Gruyter Open
• Czasopismo: Special Matrices
• Rocznik: 2017
• Tom: 5
• Numer: 1
• Strony: 258-289

Daty

wydano

2017-11-27

otrzymano

2017-09-18

zaakceptowano

2017-11-02

online

2017-11-16

Twórcy

autor

Ilwoo Cho

• , 52803,

Identyfikatory

DOI

10.1515/spma-2017-0019