Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equivalent norms with an extremely nonlineable set of norm attaining
  functionals   We present a construction that enables one to find Banach spaces $X$ whose
sets $NA(X)$ of norm attaining functionals do not contain two-dimensional
subspaces and such that, consequently, $X$ does not contain proximinal
subspaces of finite codimension greater than one, extending the results
recently provided by Read and Rmoutil. Roughly speaking, we construct an
equivalent renorming with the requested properties for every Banach space $X$
where the set $NA(X)$ for the original norm is not "too large". The
construction can be applied to every Banach space containing $c_0$ and having a
countable system of norming functionals, in particular, to separable Banach
spaces containing $c_0$. We also provide some geometric properties of the norms
we have constructed.

26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio