Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Diametral diameter two properties in Banach spaces   The aim of this note is to provide several variants of the diameter two
properties for Banach spaces. We study such properties looking for the
abundance of diametral points, which holds in the setting of Banach spaces with
the Daugavet property, for example, and we intro- duce the diametral diameter
two properties in Banach spaces, showing for these new properties stability
results, inheritance to subspaces and characterizations in terms of finite rank
projections.

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The categories of this paper are: stat
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
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The categories of this paper are: econ
5
The categories of this paper are: gr-qc
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The categories of this paper are: funct-an
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ex
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The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: solv-int