Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Gaussian Average Property for Banach Spaces   In this paper we investigate a Gaussian average property of Banach spaces.
This property is weaker than the Gordon Lewis property but closely related to
this and other unconditional structures. It is also shown that this property
implies that certain Hilbert space valued operators defined on subspaces of the
given space can be extended.

13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
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The categories of this paper are: q-fin
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat