Banach Journal of Mathematical Analysis

(P,Q)-outer generalized inverse of block matrices in Banach algebras

Milica Z. Kolundzija

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Abstract

We investigate additive results for $(p,q)$-outer generalized inverse of elements in Banach algebra, along with the representation of this inverse in a block matrix in the Banachiewicz--Schur form. Additionally, we investigate the $(p,q)$-pseudospectrum and $(p,q)$-condition spectrum of a block matrix $(a,0,0,b)$ in a Banach algebra.

Article information

Source
Banach J. Math. Anal., Volume 8, Number 1 (2014), 98-108.

Dates
First available in Project Euclid: 14 October 2013

Permanent link to this document
https://projecteuclid.org/euclid.bjma/1381782090

Digital Object Identifier
doi:10.15352/bjma/1381782090

Mathematical Reviews number (MathSciNet)
MR3161685

Zentralblatt MATH identifier
1276.47006

Subjects
Primary: 15A09: Matrix inversion, generalized inverses
Secondary: 47A05: General (adjoints, conjugates, products, inverses, domains, ranges, etc.) 46H05: General theory of topological algebras 47A10: Spectrum, resolvent

Keywords
(p,q)-outer generalized inverse block matrix pseudospectrum condition spectrum

Citation

Kolundzija, Milica Z. (P,Q)-outer generalized inverse of block matrices in Banach algebras. Banach J. Math. Anal. 8 (2014), no. 1, 98--108. doi:10.15352/bjma/1381782090. https://projecteuclid.org/euclid.bjma/1381782090


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References

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