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

Ilwoo Cho; Palle E. T Jorgensen

doi:10.1515/spma-2017-0001

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

Journal article

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Peer reviewed

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

Ilwoo Cho and Palle E. T Jorgensen

Special matrices, Vol.5(1), pp.1-35

01/26/2017

DOI: 10.1515/spma-2017-0001

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Abstract

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.

05E15

11G15

11R04

11R09

11R47

11R56

46L10

46L40

46L53

46L54

Algebras

Arithmetic Functions

Directed Graphs

Free Probability

Graph Groupoids

Krein Spaces

Krein-Space Operators

Representations

Details

Title: Subtitle: Krein-space operators determined by free product algebras induced by primes and graphs
Creators: Ilwoo Cho - Saint Ambrose University
Palle E. T Jorgensen - University of Iowa
Resource Type: Journal article
Publication Details: Special matrices, Vol.5(1), pp.1-35
DOI: 10.1515/spma-2017-0001
ISSN: 2300-7451
eISSN: 2300-7451
Publisher: De Gruyter Open
Number of pages: 35
Language: English
Date published: 01/26/2017
Academic Unit: Mathematics
Record Identifier: 9984240771402771

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