Krein-space operators determined by free product algebras induced by primes and graphs

• Autorzy: Ilwoo Cho , Palle E. T. Jorgensen
• Języki publikacji: EN

Abstrakty

EN

In this paper, we introduce certain Krein-space operators induced by free product algebras induced by both primes and directed graphs. We study operator-theoretic properties of such operators by computing free-probabilistic data containing number-theoretic data.

Słowa kluczowe

EN

Directed Graphs; Graph Groupoids; Arithmetic Functions; Algebras; Free Probability; Representations; Krein Spaces; Krein-Space Operators

• Wydawca: De Gruyter Open
• Czasopismo: Special Matrices
• Rocznik: 2017
• Tom: 5
• Numer: 1
• Strony: 1-35

Daty

wydano

2017-01-01

otrzymano

2016-02-01

zaakceptowano

2016-04-14

online

2017-01-20

Twórcy

autor

Ilwoo Cho

• St. Ambrose Univ., Dept. of Math. and Stat., 421 Ambrose Hall, 518 W. Locust St., Davenport, Iowa, 52803,,

autor

Palle E. T. Jorgensen

• Univ. of Iowa, Dept. of Math., 14 McLean Hall, Iowa City, Iowa, 52242,,

Identyfikatory

DOI

10.1515/spma-2017-0001