Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Banach-Mazur Type for Normed Spaces   In order to measure qualitative properties we introduce a notion of a type
for arbitrary normed spaces which measures the worst possible growth of partial
sums of sequences weakly converging to zero. The ideas can be traced back to
Banach and Mazur who used this type to compare the so-called linear dimension
of classical Banach spaces. As an application we compare the linear dimension
and investigate isomorphy of some classical Banach spaces.

14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs