## Banach Journal of Mathematical Analysis

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

Milica Z. Kolundzija

#### 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

https://projecteuclid.org/euclid.bjma/1381782090

Digital Object Identifier
doi:10.15352/bjma/1381782090

Mathematical Reviews number (MathSciNet)
MR3161685

Zentralblatt MATH identifier
1276.47006

#### 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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