Extension of Spectral Scales to Unbounded Operators
Author
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-33, 33 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-08-02
Country of Publication
Egypt
No. of Pages
33
Main Subjects
Abstract EN
We extend the notion of a spectral scale to n-tuples of unbounded operators affiliated with a finite von Neumann Algebra.
We focus primarily on the single-variable case and show that many of the results from the bounded theory go through in the unbounded situation.
We present the currently available material on the unbounded multivariable situation.
Sufficient conditions for a set to be a spectral scale are established.
The relationship between convergence of operators and the convergence of the corresponding spectral scales is investigated.
We establish a connection between the Akemann et al.
spectral scale (1999) and that of Petz (1985).
American Psychological Association (APA)
Wills, M. D.. 2010. Extension of Spectral Scales to Unbounded Operators. International Journal of Mathematics and Mathematical Sciences،Vol. 2010, no. 2010, pp.1-33.
https://search.emarefa.net/detail/BIM-492634
Modern Language Association (MLA)
Wills, M. D.. Extension of Spectral Scales to Unbounded Operators. International Journal of Mathematics and Mathematical Sciences No. 2010 (2010), pp.1-33.
https://search.emarefa.net/detail/BIM-492634
American Medical Association (AMA)
Wills, M. D.. Extension of Spectral Scales to Unbounded Operators. International Journal of Mathematics and Mathematical Sciences. 2010. Vol. 2010, no. 2010, pp.1-33.
https://search.emarefa.net/detail/BIM-492634
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-492634