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Article: Linear operators preserving the (p,q)-numerical range

TitleLinear operators preserving the (p,q)-numerical range
Authors
Issue Date1983
PublisherElsevier Inc. The Journal's web site is located at http://www.elsevier.com/locate/laa
Citation
Linear Algebra And Its Applications, 1983, v. 110 C, p. 75-89 How to Cite?
AbstractLet Cn×n and Hn denote respectively the space of n×n complex matrices and the real space of n×n hermitian matrices. Let p,q,n be positive integers such that p≤q≤n. For Aε{lunate}Cn×n, the (p,q)-numerical range of A is the set Wp,q(A)={trCp(JqUAU*):U unitary}, where Cp(X) is the pth compound matrix of X, and Jq is the matrix Iq{equivalent to}On-q. Let L denote Hn or Cn×n. The problem of determining all linear operators T: L→L such that Wp,q(T(A))=Wp,q(A) for all Aε{lunate}L is treated in this paper. © 1988.
Persistent Identifierhttp://hdl.handle.net/10722/156226
ISSN
2023 Impact Factor: 1.0
2023 SCImago Journal Rankings: 0.837
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorLi, CKen_US
dc.contributor.authorTam, BSen_US
dc.contributor.authorTsing, NKen_US
dc.date.accessioned2012-08-08T08:40:55Z-
dc.date.available2012-08-08T08:40:55Z-
dc.date.issued1983en_US
dc.identifier.citationLinear Algebra And Its Applications, 1983, v. 110 C, p. 75-89en_US
dc.identifier.issn0024-3795en_US
dc.identifier.urihttp://hdl.handle.net/10722/156226-
dc.description.abstractLet Cn×n and Hn denote respectively the space of n×n complex matrices and the real space of n×n hermitian matrices. Let p,q,n be positive integers such that p≤q≤n. For Aε{lunate}Cn×n, the (p,q)-numerical range of A is the set Wp,q(A)={trCp(JqUAU*):U unitary}, where Cp(X) is the pth compound matrix of X, and Jq is the matrix Iq{equivalent to}On-q. Let L denote Hn or Cn×n. The problem of determining all linear operators T: L→L such that Wp,q(T(A))=Wp,q(A) for all Aε{lunate}L is treated in this paper. © 1988.en_US
dc.languageengen_US
dc.publisherElsevier Inc. The Journal's web site is located at http://www.elsevier.com/locate/laaen_US
dc.relation.ispartofLinear Algebra and Its Applicationsen_US
dc.titleLinear operators preserving the (p,q)-numerical rangeen_US
dc.typeArticleen_US
dc.identifier.emailTsing, NK:nktsing@hku.hken_US
dc.identifier.authorityTsing, NK=rp00794en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1016/0024-3795(83)90133-7-
dc.identifier.scopuseid_2-s2.0-48749149062en_US
dc.identifier.volume110en_US
dc.identifier.issueCen_US
dc.identifier.spage75en_US
dc.identifier.epage89en_US
dc.identifier.isiWOS:A1988Q773400005-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridLi, CK=8048590800en_US
dc.identifier.scopusauthoridTam, BS=7007105714en_US
dc.identifier.scopusauthoridTsing, NK=6602663351en_US
dc.identifier.issnl0024-3795-

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