Representations for the pseudo Drazin inverse of elements in a Banach algebra

doi:10.11650/tjm.19.2015.4576

Utilize este identificador para referenciar este registo: https://hdl.handle.net/1822/32355

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Campo DC	Valor	Idioma
dc.contributor.author	Zhu, Huihui	por
dc.contributor.author	Chen, Jianlong	por
dc.contributor.author	Patrício, Pedro	por
dc.date.accessioned	2015-01-06T09:38:22Z	-
dc.date.available	2015-01-06T09:38:22Z	-
dc.date.issued	2015	-
dc.identifier.citation	Zhu, H., Chen, J., & Patrício, P. (2015). Representations for the pseudo Drazin inverse of elements in a Banach algebra. Taiwanese Journal of Mathematics, 19(2), 349-362. doi: 10.11650/tjm.19.2015.4576	-
dc.identifier.issn	1027-5487	por
dc.identifier.uri	https://hdl.handle.net/1822/32355	-
dc.description.abstract	In this paper, we investigate the pseudo Drazin invertibility of the sum and the product of elements in a Banach algebra {A}. Given pseudo Drazin invertible elements a and b such that a2b=aba and b2a=bab, it is shown that ab is pseudo Drazin invertible and a+b is pseudo Drazin invertible if and only if so is 1+a^\ddag b, and the related formulae are provided.	por
dc.description.sponsorship	National Natural Science Foundation of China (11371089), the Specialized Research Fund for the Doctoral Program of Higher Education (20120092110020), the Foundation of Graduate Innovation Program of Jiangsu Province(CXLX13-072), the Fundamental Research Funds for the Central Universities (22420135011), `FEDER Funds through Programa Operacional Factores de Competitividade-COMPETE' and by Portuguese Funds through FCT-`Fundação para a Ciência e a Tecnologia', within the project PEst-OE/MAT/UI0013/2014.	por
dc.language.iso	eng	por
dc.publisher	Mathematical Society of the Republic of China	por
dc.rights	restrictedAccess	por
dc.subject	Pseudo Drazin inverse	por
dc.subject	Strongly spectral idempotent	por
dc.subject	Jacobson radical	por
dc.title	Representations for the pseudo Drazin inverse of elements in a Banach algebra	por
dc.type	article	por
dc.peerreviewed	yes	por
dc.relation.publisherversion	http://journal.taiwanmathsoc.org.tw/~journal/tjm/preview13/m251-4576-Preview.pdf	por
oaire.citationStartPage	349	por
oaire.citationEndPage	362	por
oaire.citationIssue	2	por
oaire.citationTitle	Taiwanese Journal of Mathematics	por
oaire.citationVolume	19	por
dc.identifier.doi	10.11650/tjm.19.2015.4576	-
dc.subject.fos	Ciências Naturais::Matemáticas	por
dc.subject.wos	Science & Technology	por
sdum.journal	Taiwanese Journal of Mathematics	por
Aparece nas coleções:	CMAT - Artigos em revistas com arbitragem / Papers in peer review journals