Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Isolated spectral points and Koliha-Drazin invertible elements in
  quotient Banach algebras and homomorphism ranges   In this article poles, isolated spectral points, group, Drazin and
Koliha-Drazin invertible elements in the context of quotient Banach algebras or
in ranges of (not necessarily continuous) homomorphism between complex unital
Banach algebras will be characterized using Fredholm and Riesz Banach algebra
elements. Calkin algebras on Banach and Hilbert spaces will be also considered.

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The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: plasm-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
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The categories of this paper are: eess
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The categories of this paper are: mtrl-th
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The categories of this paper are: funct-an
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The categories of this paper are: econ
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The categories of this paper are: hep-lat
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The categories of this paper are: nlin
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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-ex
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The categories of this paper are: chao-dyn