Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Characterization of equality in a generalized Dunkl--Williams inequality   We establish a generalization of the Dunkl--Williams inequality and its
inverse in the framework of Hilbert $C^*$-modules and characterize the equality
case. As applications, we get some new results and some known results due to
Pe\v{c}ari\'c and Raji\'c [Linear Algebra Appl. 425 (2007), no. 1, 16--25].

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The categories of this paper are: stat
9
The categories of this paper are: nlin
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The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
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The categories of this paper are: eess
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The categories of this paper are: alg-geom
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: hep-ex
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The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys