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

Ilwoo Cho; Palle E. T. Jorgensen

Special Matrices (2017)

  • Volume: 5, Issue: 1, page 1-35
  • ISSN: 2300-7451

Abstract

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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.

How to cite

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Ilwoo Cho, and Palle E. T. Jorgensen. "Krein-space operators determined by free product algebras induced by primes and graphs." Special Matrices 5.1 (2017): 1-35. <http://eudml.org/doc/288037>.

@article{IlwooCho2017,
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.},
author = {Ilwoo Cho, Palle E. T. Jorgensen},
journal = {Special Matrices},
keywords = {Directed Graphs; Graph Groupoids; Arithmetic Functions; Algebras; Free Probability; Representations; Krein Spaces; Krein-Space Operators; directed graphs; graph groupoids; arithmetic functions; algebras; free probability; representations; Krein spaces; Krein-space operators},
language = {eng},
number = {1},
pages = {1-35},
title = {Krein-space operators determined by free product algebras induced by primes and graphs},
url = {http://eudml.org/doc/288037},
volume = {5},
year = {2017},
}

TY - JOUR
AU - Ilwoo Cho
AU - Palle E. T. Jorgensen
TI - Krein-space operators determined by free product algebras induced by primes and graphs
JO - Special Matrices
PY - 2017
VL - 5
IS - 1
SP - 1
EP - 35
AB - 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.
LA - eng
KW - Directed Graphs; Graph Groupoids; Arithmetic Functions; Algebras; Free Probability; Representations; Krein Spaces; Krein-Space Operators; directed graphs; graph groupoids; arithmetic functions; algebras; free probability; representations; Krein spaces; Krein-space operators
UR - http://eudml.org/doc/288037
ER -

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