Operators Induced by Graphs

Ilwoo Cho; Palle Jorgensen

doi:10.1007/s11005-012-0575-4

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Journal article

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Operators Induced by Graphs

Ilwoo Cho and Palle Jorgensen

Letters in Mathematical Physics, Vol.102(3), pp.323-369

12/2012

DOI: 10.1007/s11005-012-0575-4

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Abstract

In this paper, we consider the spectral-theoretic properties of certain operators induced by given graphs. Self-adjointness, unitary, hyponormality, and normality of graph-depending operators are considered. As application, we study the finitely supported operators in the free group factor L(F N ).

Theoretical, Mathematical and Computational Physics

graph operators

05C62

05C90

47A99

Statistical Physics, Dynamical Systems and Complexity

Physics

Geometry

graph groupoids

directed graphs

Group Theory and Generalizations

17A50

18B40

Details

Title: Subtitle: Operators Induced by Graphs
Creators: Ilwoo Cho - Department of Mathematics St. Ambrose University 518 W. Locust St. Davenport IA 52803 USA
Palle Jorgensen - Department of Mathematics University of Iowa 14 McLean Hall Iowa City IA 52242 USA
Resource Type: Journal article
Publication Details: Letters in Mathematical Physics, Vol.102(3), pp.323-369
DOI: 10.1007/s11005-012-0575-4
ISSN: 0377-9017
eISSN: 1573-0530
Publisher: Springer Netherlands; Dordrecht
Language: English
Date published: 12/2012
Academic Unit: Mathematics
Record Identifier: 9983985886302771

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