Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On The Uniqueness of The Strongly Irreducible Decompositions of
  Operators up to Similarity   We give a generalization of the Jordan canonical form theorem for a class of
bounded linear operators on complex separable Hilbert spaces in terms of direct
integrals. Precisely, we study the uniqueness of strongly irreducible
decompositions of the operators on the Hilbert spaces up to similarity.

11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
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The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol