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Cho, Ilwoo

Matrices induced by arithmetic functions acting on certain Krein spaces. (English) Zbl 1380.05197

Spec. Matrices 5, 258-289 (2017).
Summary: 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.

MSC:

05E15 Combinatorial aspects of groups and algebras (MSC2010)
11G15 Complex multiplication and moduli of abelian varieties
11R04 Algebraic numbers; rings of algebraic integers
11R09 Polynomials (irreducibility, etc.)
11R47 Other analytic theory
11R56 Adèle rings and groups
46L10 General theory of von Neumann algebras
46L40 Automorphisms of selfadjoint operator algebras
46L53 Noncommutative probability and statistics
46L54 Free probability and free operator algebras
47L15 Operator algebras with symbol structure
47L30 Abstract operator algebras on Hilbert spaces
47L55 Representations of (nonselfadjoint) operator algebras

Keywords:

primes; arithmetic functions; the arithmetic algebra; linear functionals; arithmetic probability spaces; Krein spaces; Krein-space operators
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References:

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