On multiparameter spectral theory

A connection between the numerical range of the multipararneter linear system P(λ) and the joint numerical range of the (commuting) separating operator system is given.

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Bibliographic Details
Main Authors: Lokenath Debnath, Ram Verma
Format: Article
Language:English
Published: Wiley 1991-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171291001096
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author Lokenath Debnath
Ram Verma
author_facet Lokenath Debnath
Ram Verma
author_sort Lokenath Debnath
collection DOAJ
description A connection between the numerical range of the multipararneter linear system P(λ) and the joint numerical range of the (commuting) separating operator system is given.
format Article
id doaj-art-8e0e1e6a07c7462b9aaadba8ebb4903d
institution OA Journals
issn 0161-1712
1687-0425
language English
publishDate 1991-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-8e0e1e6a07c7462b9aaadba8ebb4903d2025-08-20T02:09:40ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251991-01-0114481381410.1155/S0161171291001096On multiparameter spectral theoryLokenath Debnath0Ram Verma1Department of Mathematics, University of Central Florida, Orlando 32816, FL, USADepartment of Mathematics, University of Central Florida, Orlando 32816, FL, USAA connection between the numerical range of the multipararneter linear system P(λ) and the joint numerical range of the (commuting) separating operator system is given.http://dx.doi.org/10.1155/S0161171291001096multiparameter operator systemuniform reasonable cross-norm numerical rangeand spectral problems.
spellingShingle Lokenath Debnath
Ram Verma
On multiparameter spectral theory
International Journal of Mathematics and Mathematical Sciences
multiparameter operator system
uniform reasonable cross-norm
numerical range
and spectral problems.
title On multiparameter spectral theory
title_full On multiparameter spectral theory
title_fullStr On multiparameter spectral theory
title_full_unstemmed On multiparameter spectral theory
title_short On multiparameter spectral theory
title_sort on multiparameter spectral theory
topic multiparameter operator system
uniform reasonable cross-norm
numerical range
and spectral problems.
url http://dx.doi.org/10.1155/S0161171291001096
work_keys_str_mv AT lokenathdebnath onmultiparameterspectraltheory
AT ramverma onmultiparameterspectraltheory