Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Additive properties of G-Drazin inverse of linear operators   In this paper, we investigate additive properties of generalized Drazin
inverse for linear operators in Banach spaces. Under new polynomial conditions
on generalized Drazin invertible operators a and b, we prove their sum has
generalized Drazin inverse and give explicit representations of the generalized
inverse $(a+b)^d$.

21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc