Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Zachary spaces $\mathcal{Z}^p[\mathbb{R}^{\infty }]$ and separable
  Banach spaces   We construct Zachary space in $\R^\infty$ and find that this is a Banach
space of functions of bounded mean oscillation with order $p, 1\leq p \leq
\infty$ containing the function of bounded mean oscillation $BMO[\R_I^\infty]$
as a dense continuos embedding. As an application of $\R_I^\infty$ we
construction $\mcB,$ where $\mcB $ is separable Banach space and finally we
construct $\mcZ^p[\mcB]$

21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn